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Finding the Third Proportional to 342,336.38 and 532,164.94

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Solution

The third proportional to 342,336.38 and 532,164.94 is: 827,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,336.38 : 532,164.94 = 532,164.94 : x
  2. Step 2: Convert to fraction form
    342,336.38/532,164.94 = 532,164.94/x
  3. Step 3: Cross multiply
    342,336.38x = 532,164.94 × 532,164.94
  4. Step 4: Simplify right side
    342,336.38x = 283,199,520,704.38
  5. Step 5: Solve for x
    x = 283,199,520,704.38/342,336.38
  6. Step 6: Final answer
    x = 827,255.13

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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.