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Finding the Third Proportional to 539,055 and 834,553.13

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Solution

The third proportional to 539,055 and 834,553.13 is: 1,292,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,055 : 834,553.13 = 834,553.13 : x
  2. Step 2: Convert to fraction form
    539,055/834,553.13 = 834,553.13/x
  3. Step 3: Cross multiply
    539,055x = 834,553.13 × 834,553.13
  4. Step 4: Simplify right side
    539,055x = 696,478,918,447.27
  5. Step 5: Solve for x
    x = 696,478,918,447.27/539,055
  6. Step 6: Final answer
    x = 1,292,036.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.