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Finding the Third Proportional to 376,321 and 813,982

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Solution

The third proportional to 376,321 and 813,982 is: 1,760,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,321 : 813,982 = 813,982 : x
  2. Step 2: Convert to fraction form
    376,321/813,982 = 813,982/x
  3. Step 3: Cross multiply
    376,321x = 813,982 × 813,982
  4. Step 4: Simplify right side
    376,321x = 662,566,696,324
  5. Step 5: Solve for x
    x = 662,566,696,324/376,321
  6. Step 6: Final answer
    x = 1,760,642.37

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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.