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Finding the Third Proportional to 382,654.50 and 597,238.50

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Solution

The third proportional to 382,654.50 and 597,238.50 is: 932,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,654.50 : 597,238.50 = 597,238.50 : x
  2. Step 2: Convert to fraction form
    382,654.50/597,238.50 = 597,238.50/x
  3. Step 3: Cross multiply
    382,654.50x = 597,238.50 × 597,238.50
  4. Step 4: Simplify right side
    382,654.50x = 356,693,825,882.25
  5. Step 5: Solve for x
    x = 356,693,825,882.25/382,654.50
  6. Step 6: Final answer
    x = 932,156.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.