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Finding the Third Proportional to 505,836,945.56 and 758,755,370.25

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Solution

The third proportional to 505,836,945.56 and 758,755,370.25 is: 1,138,132,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,836,945.56 : 758,755,370.25 = 758,755,370.25 : x
  2. Step 2: Convert to fraction form
    505,836,945.56/758,755,370.25 = 758,755,370.25/x
  3. Step 3: Cross multiply
    505,836,945.56x = 758,755,370.25 × 758,755,370.25
  4. Step 4: Simplify right side
    505,836,945.56x = 575,709,711,883,214,592
  5. Step 5: Solve for x
    x = 575,709,711,883,214,592/505,836,945.56
  6. Step 6: Final answer
    x = 1,138,132,983.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.