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Finding the Third Proportional to 547,513 and 732,364

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Solution

The third proportional to 547,513 and 732,364 is: 979,624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,513 : 732,364 = 732,364 : x
  2. Step 2: Convert to fraction form
    547,513/732,364 = 732,364/x
  3. Step 3: Cross multiply
    547,513x = 732,364 × 732,364
  4. Step 4: Simplify right side
    547,513x = 536,357,028,496
  5. Step 5: Solve for x
    x = 536,357,028,496/547,513
  6. Step 6: Final answer
    x = 979,624.28

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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.