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Finding the Third Proportional to 391,412.25 and 834,084

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Solution

The third proportional to 391,412.25 and 834,084 is: 1,777,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,412.25 : 834,084 = 834,084 : x
  2. Step 2: Convert to fraction form
    391,412.25/834,084 = 834,084/x
  3. Step 3: Cross multiply
    391,412.25x = 834,084 × 834,084
  4. Step 4: Simplify right side
    391,412.25x = 695,696,119,056
  5. Step 5: Solve for x
    x = 695,696,119,056/391,412.25
  6. Step 6: Final answer
    x = 1,777,399.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.