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Finding the Third Proportional to 332,452 and 712,532

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Solution

The third proportional to 332,452 and 712,532 is: 1,527,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,452 : 712,532 = 712,532 : x
  2. Step 2: Convert to fraction form
    332,452/712,532 = 712,532/x
  3. Step 3: Cross multiply
    332,452x = 712,532 × 712,532
  4. Step 4: Simplify right side
    332,452x = 507,701,851,024
  5. Step 5: Solve for x
    x = 507,701,851,024/332,452
  6. Step 6: Final answer
    x = 1,527,143.32

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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.