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Finding the Third Proportional to 566,864 and 1,244,306.50

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Solution

The third proportional to 566,864 and 1,244,306.50 is: 2,731,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,864 : 1,244,306.50 = 1,244,306.50 : x
  2. Step 2: Convert to fraction form
    566,864/1,244,306.50 = 1,244,306.50/x
  3. Step 3: Cross multiply
    566,864x = 1,244,306.50 × 1,244,306.50
  4. Step 4: Simplify right side
    566,864x = 1,548,298,665,942.25
  5. Step 5: Solve for x
    x = 1,548,298,665,942.25/566,864
  6. Step 6: Final answer
    x = 2,731,340.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.