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Finding the Third Proportional to 376,470 and 811,584

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Solution

The third proportional to 376,470 and 811,584 is: 1,749,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,470 : 811,584 = 811,584 : x
  2. Step 2: Convert to fraction form
    376,470/811,584 = 811,584/x
  3. Step 3: Cross multiply
    376,470x = 811,584 × 811,584
  4. Step 4: Simplify right side
    376,470x = 658,668,589,056
  5. Step 5: Solve for x
    x = 658,668,589,056/376,470
  6. Step 6: Final answer
    x = 1,749,591.17

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Why These Related Problems?

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