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Finding the Third Proportional to 259,069.88 and 610,691.25

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Solution

The third proportional to 259,069.88 and 610,691.25 is: 1,439,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,069.88 : 610,691.25 = 610,691.25 : x
  2. Step 2: Convert to fraction form
    259,069.88/610,691.25 = 610,691.25/x
  3. Step 3: Cross multiply
    259,069.88x = 610,691.25 × 610,691.25
  4. Step 4: Simplify right side
    259,069.88x = 372,943,802,826.56
  5. Step 5: Solve for x
    x = 372,943,802,826.56/259,069.88
  6. Step 6: Final answer
    x = 1,439,549.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.