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Finding the Third Proportional to 664,255.69 and 1,017,375.19

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Solution

The third proportional to 664,255.69 and 1,017,375.19 is: 1,558,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,255.69 : 1,017,375.19 = 1,017,375.19 : x
  2. Step 2: Convert to fraction form
    664,255.69/1,017,375.19 = 1,017,375.19/x
  3. Step 3: Cross multiply
    664,255.69x = 1,017,375.19 × 1,017,375.19
  4. Step 4: Simplify right side
    664,255.69x = 1,035,052,272,140.66
  5. Step 5: Solve for x
    x = 1,035,052,272,140.66/664,255.69
  6. Step 6: Final answer
    x = 1,558,213.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.