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Finding the Third Proportional to 547,500 and 732,357

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Solution

The third proportional to 547,500 and 732,357 is: 979,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,500 : 732,357 = 732,357 : x
  2. Step 2: Convert to fraction form
    547,500/732,357 = 732,357/x
  3. Step 3: Cross multiply
    547,500x = 732,357 × 732,357
  4. Step 4: Simplify right side
    547,500x = 536,346,775,449
  5. Step 5: Solve for x
    x = 536,346,775,449/547,500
  6. Step 6: Final answer
    x = 979,628.81

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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.