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Finding the Third Proportional to 332,882 and 712,420

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Solution

The third proportional to 332,882 and 712,420 is: 1,524,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,882 : 712,420 = 712,420 : x
  2. Step 2: Convert to fraction form
    332,882/712,420 = 712,420/x
  3. Step 3: Cross multiply
    332,882x = 712,420 × 712,420
  4. Step 4: Simplify right side
    332,882x = 507,542,256,400
  5. Step 5: Solve for x
    x = 507,542,256,400/332,882
  6. Step 6: Final answer
    x = 1,524,691.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.