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Finding the Third Proportional to 368,694 and 586,251

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Solution

The third proportional to 368,694 and 586,251 is: 932,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,694 : 586,251 = 586,251 : x
  2. Step 2: Convert to fraction form
    368,694/586,251 = 586,251/x
  3. Step 3: Cross multiply
    368,694x = 586,251 × 586,251
  4. Step 4: Simplify right side
    368,694x = 343,690,235,001
  5. Step 5: Solve for x
    x = 343,690,235,001/368,694
  6. Step 6: Final answer
    x = 932,182.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.