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Finding the Third Proportional to 332,549 and 487,032

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Solution

The third proportional to 332,549 and 487,032 is: 713,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,549 : 487,032 = 487,032 : x
  2. Step 2: Convert to fraction form
    332,549/487,032 = 487,032/x
  3. Step 3: Cross multiply
    332,549x = 487,032 × 487,032
  4. Step 4: Simplify right side
    332,549x = 237,200,169,024
  5. Step 5: Solve for x
    x = 237,200,169,024/332,549
  6. Step 6: Final answer
    x = 713,278.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.