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Finding the Third Proportional to 361,444 and 536,934

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Solution

The third proportional to 361,444 and 536,934 is: 797,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,444 : 536,934 = 536,934 : x
  2. Step 2: Convert to fraction form
    361,444/536,934 = 536,934/x
  3. Step 3: Cross multiply
    361,444x = 536,934 × 536,934
  4. Step 4: Simplify right side
    361,444x = 288,298,120,356
  5. Step 5: Solve for x
    x = 288,298,120,356/361,444
  6. Step 6: Final answer
    x = 797,628.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.