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Finding the Third Proportional to 207,787 and 454,987

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Solution

The third proportional to 207,787 and 454,987 is: 996,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,787 : 454,987 = 454,987 : x
  2. Step 2: Convert to fraction form
    207,787/454,987 = 454,987/x
  3. Step 3: Cross multiply
    207,787x = 454,987 × 454,987
  4. Step 4: Simplify right side
    207,787x = 207,013,170,169
  5. Step 5: Solve for x
    x = 207,013,170,169/207,787
  6. Step 6: Final answer
    x = 996,275.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.