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Finding the Third Proportional to 332,545 and 487,026

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Solution

The third proportional to 332,545 and 487,026 is: 713,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,545 : 487,026 = 487,026 : x
  2. Step 2: Convert to fraction form
    332,545/487,026 = 487,026/x
  3. Step 3: Cross multiply
    332,545x = 487,026 × 487,026
  4. Step 4: Simplify right side
    332,545x = 237,194,324,676
  5. Step 5: Solve for x
    x = 237,194,324,676/332,545
  6. Step 6: Final answer
    x = 713,269.86

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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.