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Finding the Third Proportional to 207,908 and 454,681

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Solution

The third proportional to 207,908 and 454,681 is: 994,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,908 : 454,681 = 454,681 : x
  2. Step 2: Convert to fraction form
    207,908/454,681 = 454,681/x
  3. Step 3: Cross multiply
    207,908x = 454,681 × 454,681
  4. Step 4: Simplify right side
    207,908x = 206,734,811,761
  5. Step 5: Solve for x
    x = 206,734,811,761/207,908
  6. Step 6: Final answer
    x = 994,357.18

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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.