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Finding the Third Proportional to 445,766.38 and 869,196.88

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Solution

The third proportional to 445,766.38 and 869,196.88 is: 1,694,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,766.38 : 869,196.88 = 869,196.88 : x
  2. Step 2: Convert to fraction form
    445,766.38/869,196.88 = 869,196.88/x
  3. Step 3: Cross multiply
    445,766.38x = 869,196.88 × 869,196.88
  4. Step 4: Simplify right side
    445,766.38x = 755,503,207,509.77
  5. Step 5: Solve for x
    x = 755,503,207,509.77/445,766.38
  6. Step 6: Final answer
    x = 1,694,841.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.