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Finding the Third Proportional to 342,239.44 and 532,026.56

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Solution

The third proportional to 342,239.44 and 532,026.56 is: 827,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,239.44 : 532,026.56 = 532,026.56 : x
  2. Step 2: Convert to fraction form
    342,239.44/532,026.56 = 532,026.56/x
  3. Step 3: Cross multiply
    342,239.44x = 532,026.56 × 532,026.56
  4. Step 4: Simplify right side
    342,239.44x = 283,052,263,205.57
  5. Step 5: Solve for x
    x = 283,052,263,205.57/342,239.44
  6. Step 6: Final answer
    x = 827,059.16

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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.