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Finding the Third Proportional to 635,510.25 and 1,012,497.75

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Solution

The third proportional to 635,510.25 and 1,012,497.75 is: 1,613,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,510.25 : 1,012,497.75 = 1,012,497.75 : x
  2. Step 2: Convert to fraction form
    635,510.25/1,012,497.75 = 1,012,497.75/x
  3. Step 3: Cross multiply
    635,510.25x = 1,012,497.75 × 1,012,497.75
  4. Step 4: Simplify right side
    635,510.25x = 1,025,151,693,755.06
  5. Step 5: Solve for x
    x = 1,025,151,693,755.06/635,510.25
  6. Step 6: Final answer
    x = 1,613,115.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.