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Finding the Third Proportional to 410,344 and 613,873

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Solution

The third proportional to 410,344 and 613,873 is: 918,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,344 : 613,873 = 613,873 : x
  2. Step 2: Convert to fraction form
    410,344/613,873 = 613,873/x
  3. Step 3: Cross multiply
    410,344x = 613,873 × 613,873
  4. Step 4: Simplify right side
    410,344x = 376,840,060,129
  5. Step 5: Solve for x
    x = 376,840,060,129/410,344
  6. Step 6: Final answer
    x = 918,351.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.