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Finding the Third Proportional to 736,679.25 and 1,107,762.75

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Solution

The third proportional to 736,679.25 and 1,107,762.75 is: 1,665,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,679.25 : 1,107,762.75 = 1,107,762.75 : x
  2. Step 2: Convert to fraction form
    736,679.25/1,107,762.75 = 1,107,762.75/x
  3. Step 3: Cross multiply
    736,679.25x = 1,107,762.75 × 1,107,762.75
  4. Step 4: Simplify right side
    736,679.25x = 1,227,138,310,287.56
  5. Step 5: Solve for x
    x = 1,227,138,310,287.56/736,679.25
  6. Step 6: Final answer
    x = 1,665,770.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.