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Finding the Third Proportional to 401,264 and 532,668

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Solution

The third proportional to 401,264 and 532,668 is: 707,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,264 : 532,668 = 532,668 : x
  2. Step 2: Convert to fraction form
    401,264/532,668 = 532,668/x
  3. Step 3: Cross multiply
    401,264x = 532,668 × 532,668
  4. Step 4: Simplify right side
    401,264x = 283,735,198,224
  5. Step 5: Solve for x
    x = 283,735,198,224/401,264
  6. Step 6: Final answer
    x = 707,103.55

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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.