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Finding the Third Proportional to 252,407,360.25 and 387,728,606.25

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Solution

The third proportional to 252,407,360.25 and 387,728,606.25 is: 595,598,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407,360.25 : 387,728,606.25 = 387,728,606.25 : x
  2. Step 2: Convert to fraction form
    252,407,360.25/387,728,606.25 = 387,728,606.25/x
  3. Step 3: Cross multiply
    252,407,360.25x = 387,728,606.25 × 387,728,606.25
  4. Step 4: Simplify right side
    252,407,360.25x = 150,333,472,104,567,552
  5. Step 5: Solve for x
    x = 150,333,472,104,567,552/252,407,360.25
  6. Step 6: Final answer
    x = 595,598,606.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.