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Finding the Third Proportional to 361,638 and 535,086

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Solution

The third proportional to 361,638 and 535,086 is: 791,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,638 : 535,086 = 535,086 : x
  2. Step 2: Convert to fraction form
    361,638/535,086 = 535,086/x
  3. Step 3: Cross multiply
    361,638x = 535,086 × 535,086
  4. Step 4: Simplify right side
    361,638x = 286,317,027,396
  5. Step 5: Solve for x
    x = 286,317,027,396/361,638
  6. Step 6: Final answer
    x = 791,722.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.