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Finding the Third Proportional to 207,850 and 447,758

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Solution

The third proportional to 207,850 and 447,758 is: 964,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,850 : 447,758 = 447,758 : x
  2. Step 2: Convert to fraction form
    207,850/447,758 = 447,758/x
  3. Step 3: Cross multiply
    207,850x = 447,758 × 447,758
  4. Step 4: Simplify right side
    207,850x = 200,487,226,564
  5. Step 5: Solve for x
    x = 200,487,226,564/207,850
  6. Step 6: Final answer
    x = 964,576.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.