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Finding the Third Proportional to 635,917.50 and 1,382,275.13

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Solution

The third proportional to 635,917.50 and 1,382,275.13 is: 3,004,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,917.50 : 1,382,275.13 = 1,382,275.13 : x
  2. Step 2: Convert to fraction form
    635,917.50/1,382,275.13 = 1,382,275.13/x
  3. Step 3: Cross multiply
    635,917.50x = 1,382,275.13 × 1,382,275.13
  4. Step 4: Simplify right side
    635,917.50x = 1,910,684,521,193.77
  5. Step 5: Solve for x
    x = 1,910,684,521,193.77/635,917.50
  6. Step 6: Final answer
    x = 3,004,610.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.