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Finding the Third Proportional to 584,723.25 and 1,259,680.50

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Solution

The third proportional to 584,723.25 and 1,259,680.50 is: 2,713,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,723.25 : 1,259,680.50 = 1,259,680.50 : x
  2. Step 2: Convert to fraction form
    584,723.25/1,259,680.50 = 1,259,680.50/x
  3. Step 3: Cross multiply
    584,723.25x = 1,259,680.50 × 1,259,680.50
  4. Step 4: Simplify right side
    584,723.25x = 1,586,794,962,080.25
  5. Step 5: Solve for x
    x = 1,586,794,962,080.25/584,723.25
  6. Step 6: Final answer
    x = 2,713,753.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.