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Finding the Third Proportional to 547,489 and 732,346

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Solution

The third proportional to 547,489 and 732,346 is: 979,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,489 : 732,346 = 732,346 : x
  2. Step 2: Convert to fraction form
    547,489/732,346 = 732,346/x
  3. Step 3: Cross multiply
    547,489x = 732,346 × 732,346
  4. Step 4: Simplify right side
    547,489x = 536,330,663,716
  5. Step 5: Solve for x
    x = 536,330,663,716/547,489
  6. Step 6: Final answer
    x = 979,619.07

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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.