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Finding the Third Proportional to 342,412.50 and 532,269

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Solution

The third proportional to 342,412.50 and 532,269 is: 827,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,412.50 : 532,269 = 532,269 : x
  2. Step 2: Convert to fraction form
    342,412.50/532,269 = 532,269/x
  3. Step 3: Cross multiply
    342,412.50x = 532,269 × 532,269
  4. Step 4: Simplify right side
    342,412.50x = 283,310,288,361
  5. Step 5: Solve for x
    x = 283,310,288,361/342,412.50
  6. Step 6: Final answer
    x = 827,394.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.