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Finding the Third Proportional to 257,639 and 356,001

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Solution

The third proportional to 257,639 and 356,001 is: 491,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,639 : 356,001 = 356,001 : x
  2. Step 2: Convert to fraction form
    257,639/356,001 = 356,001/x
  3. Step 3: Cross multiply
    257,639x = 356,001 × 356,001
  4. Step 4: Simplify right side
    257,639x = 126,736,712,001
  5. Step 5: Solve for x
    x = 126,736,712,001/257,639
  6. Step 6: Final answer
    x = 491,915.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.