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Finding the Third Proportional to 376,384 and 807,344

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Solution

The third proportional to 376,384 and 807,344 is: 1,731,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,384 : 807,344 = 807,344 : x
  2. Step 2: Convert to fraction form
    376,384/807,344 = 807,344/x
  3. Step 3: Cross multiply
    376,384x = 807,344 × 807,344
  4. Step 4: Simplify right side
    376,384x = 651,804,334,336
  5. Step 5: Solve for x
    x = 651,804,334,336/376,384
  6. Step 6: Final answer
    x = 1,731,753.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.