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Finding the Third Proportional to 566,588.25 and 1,244,814.75

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Solution

The third proportional to 566,588.25 and 1,244,814.75 is: 2,734,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,588.25 : 1,244,814.75 = 1,244,814.75 : x
  2. Step 2: Convert to fraction form
    566,588.25/1,244,814.75 = 1,244,814.75/x
  3. Step 3: Cross multiply
    566,588.25x = 1,244,814.75 × 1,244,814.75
  4. Step 4: Simplify right side
    566,588.25x = 1,549,563,761,817.56
  5. Step 5: Solve for x
    x = 1,549,563,761,817.56/566,588.25
  6. Step 6: Final answer
    x = 2,734,902.75

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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.