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Finding the Third Proportional to 283,317.75 and 442,209.38

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Solution

The third proportional to 283,317.75 and 442,209.38 is: 690,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,317.75 : 442,209.38 = 442,209.38 : x
  2. Step 2: Convert to fraction form
    283,317.75/442,209.38 = 442,209.38/x
  3. Step 3: Cross multiply
    283,317.75x = 442,209.38 × 442,209.38
  4. Step 4: Simplify right side
    283,317.75x = 195,549,131,337.89
  5. Step 5: Solve for x
    x = 195,549,131,337.89/283,317.75
  6. Step 6: Final answer
    x = 690,211.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.