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Finding the Third Proportional to 207,778 and 454,966.50

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Solution

The third proportional to 207,778 and 454,966.50 is: 996,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,778 : 454,966.50 = 454,966.50 : x
  2. Step 2: Convert to fraction form
    207,778/454,966.50 = 454,966.50/x
  3. Step 3: Cross multiply
    207,778x = 454,966.50 × 454,966.50
  4. Step 4: Simplify right side
    207,778x = 206,994,516,122.25
  5. Step 5: Solve for x
    x = 206,994,516,122.25/207,778
  6. Step 6: Final answer
    x = 996,229.23

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