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Finding the Third Proportional to 250,062 and 532,926

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Solution

The third proportional to 250,062 and 532,926 is: 1,135,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,062 : 532,926 = 532,926 : x
  2. Step 2: Convert to fraction form
    250,062/532,926 = 532,926/x
  3. Step 3: Cross multiply
    250,062x = 532,926 × 532,926
  4. Step 4: Simplify right side
    250,062x = 284,010,121,476
  5. Step 5: Solve for x
    x = 284,010,121,476/250,062
  6. Step 6: Final answer
    x = 1,135,758.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.