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Finding the Third Proportional to 561,472.50 and 732,312

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Solution

The third proportional to 561,472.50 and 732,312 is: 955,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,472.50 : 732,312 = 732,312 : x
  2. Step 2: Convert to fraction form
    561,472.50/732,312 = 732,312/x
  3. Step 3: Cross multiply
    561,472.50x = 732,312 × 732,312
  4. Step 4: Simplify right side
    561,472.50x = 536,280,865,344
  5. Step 5: Solve for x
    x = 536,280,865,344/561,472.50
  6. Step 6: Final answer
    x = 955,132.91

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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.