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Finding the Third Proportional to 363,275 and 791,941

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Solution

The third proportional to 363,275 and 791,941 is: 1,726,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,275 : 791,941 = 791,941 : x
  2. Step 2: Convert to fraction form
    363,275/791,941 = 791,941/x
  3. Step 3: Cross multiply
    363,275x = 791,941 × 791,941
  4. Step 4: Simplify right side
    363,275x = 627,170,547,481
  5. Step 5: Solve for x
    x = 627,170,547,481/363,275
  6. Step 6: Final answer
    x = 1,726,434.65

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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.