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Finding the Third Proportional to 650,468.25 and 1,001,065.50

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Solution

The third proportional to 650,468.25 and 1,001,065.50 is: 1,540,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,468.25 : 1,001,065.50 = 1,001,065.50 : x
  2. Step 2: Convert to fraction form
    650,468.25/1,001,065.50 = 1,001,065.50/x
  3. Step 3: Cross multiply
    650,468.25x = 1,001,065.50 × 1,001,065.50
  4. Step 4: Simplify right side
    650,468.25x = 1,002,132,135,290.25
  5. Step 5: Solve for x
    x = 1,002,132,135,290.25/650,468.25
  6. Step 6: Final answer
    x = 1,540,631.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.