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Finding the Third Proportional to 381,976 and 832,432

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Solution

The third proportional to 381,976 and 832,432 is: 1,814,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,976 : 832,432 = 832,432 : x
  2. Step 2: Convert to fraction form
    381,976/832,432 = 832,432/x
  3. Step 3: Cross multiply
    381,976x = 832,432 × 832,432
  4. Step 4: Simplify right side
    381,976x = 692,943,034,624
  5. Step 5: Solve for x
    x = 692,943,034,624/381,976
  6. Step 6: Final answer
    x = 1,814,100.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.