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Finding the Third Proportional to 561,262.50 and 1,155,613.50

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Solution

The third proportional to 561,262.50 and 1,155,613.50 is: 2,379,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,262.50 : 1,155,613.50 = 1,155,613.50 : x
  2. Step 2: Convert to fraction form
    561,262.50/1,155,613.50 = 1,155,613.50/x
  3. Step 3: Cross multiply
    561,262.50x = 1,155,613.50 × 1,155,613.50
  4. Step 4: Simplify right side
    561,262.50x = 1,335,442,561,382.25
  5. Step 5: Solve for x
    x = 1,335,442,561,382.25/561,262.50
  6. Step 6: Final answer
    x = 2,379,354.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.