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Finding the Third Proportional to 207,964 and 454,709

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Solution

The third proportional to 207,964 and 454,709 is: 994,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,964 : 454,709 = 454,709 : x
  2. Step 2: Convert to fraction form
    207,964/454,709 = 454,709/x
  3. Step 3: Cross multiply
    207,964x = 454,709 × 454,709
  4. Step 4: Simplify right side
    207,964x = 206,760,274,681
  5. Step 5: Solve for x
    x = 206,760,274,681/207,964
  6. Step 6: Final answer
    x = 994,211.86

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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.