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Finding the Third Proportional to 649,257.94 and 970,252.97

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Solution

The third proportional to 649,257.94 and 970,252.97 is: 1,449,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,257.94 : 970,252.97 = 970,252.97 : x
  2. Step 2: Convert to fraction form
    649,257.94/970,252.97 = 970,252.97/x
  3. Step 3: Cross multiply
    649,257.94x = 970,252.97 × 970,252.97
  4. Step 4: Simplify right side
    649,257.94x = 941,390,823,368.19
  5. Step 5: Solve for x
    x = 941,390,823,368.19/649,257.94
  6. Step 6: Final answer
    x = 1,449,948.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.