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Finding the Third Proportional to 299,448 and 649,257.75

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Solution

The third proportional to 299,448 and 649,257.75 is: 1,407,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,448 : 649,257.75 = 649,257.75 : x
  2. Step 2: Convert to fraction form
    299,448/649,257.75 = 649,257.75/x
  3. Step 3: Cross multiply
    299,448x = 649,257.75 × 649,257.75
  4. Step 4: Simplify right side
    299,448x = 421,535,625,935.06
  5. Step 5: Solve for x
    x = 421,535,625,935.06/299,448
  6. Step 6: Final answer
    x = 1,407,708.94

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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.