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Finding the Third Proportional to 207,772.31 and 454,955.06

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Solution

The third proportional to 207,772.31 and 454,955.06 is: 996,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,772.31 : 454,955.06 = 454,955.06 : x
  2. Step 2: Convert to fraction form
    207,772.31/454,955.06 = 454,955.06/x
  3. Step 3: Cross multiply
    207,772.31x = 454,955.06 × 454,955.06
  4. Step 4: Simplify right side
    207,772.31x = 206,984,108,894.38
  5. Step 5: Solve for x
    x = 206,984,108,894.38/207,772.31
  6. Step 6: Final answer
    x = 996,206.41

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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.