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Finding the Third Proportional to 416,866.50 and 853,389

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Solution

The third proportional to 416,866.50 and 853,389 is: 1,747,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,866.50 : 853,389 = 853,389 : x
  2. Step 2: Convert to fraction form
    416,866.50/853,389 = 853,389/x
  3. Step 3: Cross multiply
    416,866.50x = 853,389 × 853,389
  4. Step 4: Simplify right side
    416,866.50x = 728,272,785,321
  5. Step 5: Solve for x
    x = 728,272,785,321/416,866.50
  6. Step 6: Final answer
    x = 1,747,016.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.