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Finding the Third Proportional to 361,832 and 795,464

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Solution

The third proportional to 361,832 and 795,464 is: 1,748,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,832 : 795,464 = 795,464 : x
  2. Step 2: Convert to fraction form
    361,832/795,464 = 795,464/x
  3. Step 3: Cross multiply
    361,832x = 795,464 × 795,464
  4. Step 4: Simplify right side
    361,832x = 632,762,975,296
  5. Step 5: Solve for x
    x = 632,762,975,296/361,832
  6. Step 6: Final answer
    x = 1,748,775.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.