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Finding the Third Proportional to 508,077 and 743,042.25

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Solution

The third proportional to 508,077 and 743,042.25 is: 1,086,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,077 : 743,042.25 = 743,042.25 : x
  2. Step 2: Convert to fraction form
    508,077/743,042.25 = 743,042.25/x
  3. Step 3: Cross multiply
    508,077x = 743,042.25 × 743,042.25
  4. Step 4: Simplify right side
    508,077x = 552,111,785,285.06
  5. Step 5: Solve for x
    x = 552,111,785,285.06/508,077
  6. Step 6: Final answer
    x = 1,086,669.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.