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Finding the Third Proportional to 257,499 and 397,926

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Solution

The third proportional to 257,499 and 397,926 is: 614,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,499 : 397,926 = 397,926 : x
  2. Step 2: Convert to fraction form
    257,499/397,926 = 397,926/x
  3. Step 3: Cross multiply
    257,499x = 397,926 × 397,926
  4. Step 4: Simplify right side
    257,499x = 158,345,101,476
  5. Step 5: Solve for x
    x = 158,345,101,476/257,499
  6. Step 6: Final answer
    x = 614,934.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.