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Finding the Third Proportional to 361,344 and 763,386

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Solution

The third proportional to 361,344 and 763,386 is: 1,612,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,344 : 763,386 = 763,386 : x
  2. Step 2: Convert to fraction form
    361,344/763,386 = 763,386/x
  3. Step 3: Cross multiply
    361,344x = 763,386 × 763,386
  4. Step 4: Simplify right side
    361,344x = 582,758,184,996
  5. Step 5: Solve for x
    x = 582,758,184,996/361,344
  6. Step 6: Final answer
    x = 1,612,751.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.