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Finding the Third Proportional to 342,245 and 532,034

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Solution

The third proportional to 342,245 and 532,034 is: 827,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,245 : 532,034 = 532,034 : x
  2. Step 2: Convert to fraction form
    342,245/532,034 = 532,034/x
  3. Step 3: Cross multiply
    342,245x = 532,034 × 532,034
  4. Step 4: Simplify right side
    342,245x = 283,060,177,156
  5. Step 5: Solve for x
    x = 283,060,177,156/342,245
  6. Step 6: Final answer
    x = 827,068.85

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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.