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Finding the Third Proportional to 386,920.13 and 626,815.13

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Solution

The third proportional to 386,920.13 and 626,815.13 is: 1,015,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,920.13 : 626,815.13 = 626,815.13 : x
  2. Step 2: Convert to fraction form
    386,920.13/626,815.13 = 626,815.13/x
  3. Step 3: Cross multiply
    386,920.13x = 626,815.13 × 626,815.13
  4. Step 4: Simplify right side
    386,920.13x = 392,897,200,928.77
  5. Step 5: Solve for x
    x = 392,897,200,928.77/386,920.13
  6. Step 6: Final answer
    x = 1,015,447.83

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.