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Finding the Third Proportional to 209,620.13 and 452,432.39

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Solution

The third proportional to 209,620.13 and 452,432.39 is: 976,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,620.13 : 452,432.39 = 452,432.39 : x
  2. Step 2: Convert to fraction form
    209,620.13/452,432.39 = 452,432.39/x
  3. Step 3: Cross multiply
    209,620.13x = 452,432.39 × 452,432.39
  4. Step 4: Simplify right side
    209,620.13x = 204,695,068,086.65
  5. Step 5: Solve for x
    x = 204,695,068,086.65/209,620.13
  6. Step 6: Final answer
    x = 976,504.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.