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Finding the Third Proportional to 269,452.83 and 374,648.84

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Solution

The third proportional to 269,452.83 and 374,648.84 is: 520,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,452.83 : 374,648.84 = 374,648.84 : x
  2. Step 2: Convert to fraction form
    269,452.83/374,648.84 = 374,648.84/x
  3. Step 3: Cross multiply
    269,452.83x = 374,648.84 × 374,648.84
  4. Step 4: Simplify right side
    269,452.83x = 140,361,750,269.32
  5. Step 5: Solve for x
    x = 140,361,750,269.32/269,452.83
  6. Step 6: Final answer
    x = 520,914.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.