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Finding the Third Proportional to 207,508 and 442,664

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Solution

The third proportional to 207,508 and 442,664 is: 944,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,508 : 442,664 = 442,664 : x
  2. Step 2: Convert to fraction form
    207,508/442,664 = 442,664/x
  3. Step 3: Cross multiply
    207,508x = 442,664 × 442,664
  4. Step 4: Simplify right side
    207,508x = 195,951,416,896
  5. Step 5: Solve for x
    x = 195,951,416,896/207,508
  6. Step 6: Final answer
    x = 944,307.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.