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Finding the Third Proportional to 564,761.25 and 1,159,587

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Solution

The third proportional to 564,761.25 and 1,159,587 is: 2,380,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,761.25 : 1,159,587 = 1,159,587 : x
  2. Step 2: Convert to fraction form
    564,761.25/1,159,587 = 1,159,587/x
  3. Step 3: Cross multiply
    564,761.25x = 1,159,587 × 1,159,587
  4. Step 4: Simplify right side
    564,761.25x = 1,344,642,010,569
  5. Step 5: Solve for x
    x = 1,344,642,010,569/564,761.25
  6. Step 6: Final answer
    x = 2,380,903.45

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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.