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Finding the Third Proportional to 360,613.13 and 561,331.69

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Solution

The third proportional to 360,613.13 and 561,331.69 is: 873,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,613.13 : 561,331.69 = 561,331.69 : x
  2. Step 2: Convert to fraction form
    360,613.13/561,331.69 = 561,331.69/x
  3. Step 3: Cross multiply
    360,613.13x = 561,331.69 × 561,331.69
  4. Step 4: Simplify right side
    360,613.13x = 315,093,263,391.60
  5. Step 5: Solve for x
    x = 315,093,263,391.60/360,613.13
  6. Step 6: Final answer
    x = 873,770.92

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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.