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Finding the Third Proportional to 547,486.59 and 732,343.78

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Solution

The third proportional to 547,486.59 and 732,343.78 is: 979,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,486.59 : 732,343.78 = 732,343.78 : x
  2. Step 2: Convert to fraction form
    547,486.59/732,343.78 = 732,343.78/x
  3. Step 3: Cross multiply
    547,486.59x = 732,343.78 × 732,343.78
  4. Step 4: Simplify right side
    547,486.59x = 536,327,413,935.55
  5. Step 5: Solve for x
    x = 536,327,413,935.55/547,486.59
  6. Step 6: Final answer
    x = 979,617.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.