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Finding the Third Proportional to 361,909.50 and 795,200.25

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Solution

The third proportional to 361,909.50 and 795,200.25 is: 1,747,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,909.50 : 795,200.25 = 795,200.25 : x
  2. Step 2: Convert to fraction form
    361,909.50/795,200.25 = 795,200.25/x
  3. Step 3: Cross multiply
    361,909.50x = 795,200.25 × 795,200.25
  4. Step 4: Simplify right side
    361,909.50x = 632,343,437,600.06
  5. Step 5: Solve for x
    x = 632,343,437,600.06/361,909.50
  6. Step 6: Final answer
    x = 1,747,241.89

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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.