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Finding the Third Proportional to 207,403 and 454,982

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Solution

The third proportional to 207,403 and 454,982 is: 998,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,403 : 454,982 = 454,982 : x
  2. Step 2: Convert to fraction form
    207,403/454,982 = 454,982/x
  3. Step 3: Cross multiply
    207,403x = 454,982 × 454,982
  4. Step 4: Simplify right side
    207,403x = 207,008,620,324
  5. Step 5: Solve for x
    x = 207,008,620,324/207,403
  6. Step 6: Final answer
    x = 998,098.49

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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.