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Finding the Third Proportional to 342,256 and 532,051

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Solution

The third proportional to 342,256 and 532,051 is: 827,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,256 : 532,051 = 532,051 : x
  2. Step 2: Convert to fraction form
    342,256/532,051 = 532,051/x
  3. Step 3: Cross multiply
    342,256x = 532,051 × 532,051
  4. Step 4: Simplify right side
    342,256x = 283,078,266,601
  5. Step 5: Solve for x
    x = 283,078,266,601/342,256
  6. Step 6: Final answer
    x = 827,095.12

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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.