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Finding the Third Proportional to 401,256 and 532,656

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Solution

The third proportional to 401,256 and 532,656 is: 707,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,256 : 532,656 = 532,656 : x
  2. Step 2: Convert to fraction form
    401,256/532,656 = 532,656/x
  3. Step 3: Cross multiply
    401,256x = 532,656 × 532,656
  4. Step 4: Simplify right side
    401,256x = 283,722,414,336
  5. Step 5: Solve for x
    x = 283,722,414,336/401,256
  6. Step 6: Final answer
    x = 707,085.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.