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Finding the Third Proportional to 561,472 and 732,310

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Solution

The third proportional to 561,472 and 732,310 is: 955,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,472 : 732,310 = 732,310 : x
  2. Step 2: Convert to fraction form
    561,472/732,310 = 732,310/x
  3. Step 3: Cross multiply
    561,472x = 732,310 × 732,310
  4. Step 4: Simplify right side
    561,472x = 536,277,936,100
  5. Step 5: Solve for x
    x = 536,277,936,100/561,472
  6. Step 6: Final answer
    x = 955,128.55

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.