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Finding the Third Proportional to 376,961 and 812,972

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Solution

The third proportional to 376,961 and 812,972 is: 1,753,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,961 : 812,972 = 812,972 : x
  2. Step 2: Convert to fraction form
    376,961/812,972 = 812,972/x
  3. Step 3: Cross multiply
    376,961x = 812,972 × 812,972
  4. Step 4: Simplify right side
    376,961x = 660,923,472,784
  5. Step 5: Solve for x
    x = 660,923,472,784/376,961
  6. Step 6: Final answer
    x = 1,753,294.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.