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Finding the Third Proportional to 332,318 and 487,372

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Solution

The third proportional to 332,318 and 487,372 is: 714,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,318 : 487,372 = 487,372 : x
  2. Step 2: Convert to fraction form
    332,318/487,372 = 487,372/x
  3. Step 3: Cross multiply
    332,318x = 487,372 × 487,372
  4. Step 4: Simplify right side
    332,318x = 237,531,466,384
  5. Step 5: Solve for x
    x = 237,531,466,384/332,318
  6. Step 6: Final answer
    x = 714,771.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.