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Finding the Third Proportional to 363,276 and 791,943

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Solution

The third proportional to 363,276 and 791,943 is: 1,726,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,276 : 791,943 = 791,943 : x
  2. Step 2: Convert to fraction form
    363,276/791,943 = 791,943/x
  3. Step 3: Cross multiply
    363,276x = 791,943 × 791,943
  4. Step 4: Simplify right side
    363,276x = 627,173,715,249
  5. Step 5: Solve for x
    x = 627,173,715,249/363,276
  6. Step 6: Final answer
    x = 1,726,438.62

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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.