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Finding the Third Proportional to 270,387 and 625,926

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Solution

The third proportional to 270,387 and 625,926 is: 1,448,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,387 : 625,926 = 625,926 : x
  2. Step 2: Convert to fraction form
    270,387/625,926 = 625,926/x
  3. Step 3: Cross multiply
    270,387x = 625,926 × 625,926
  4. Step 4: Simplify right side
    270,387x = 391,783,357,476
  5. Step 5: Solve for x
    x = 391,783,357,476/270,387
  6. Step 6: Final answer
    x = 1,448,972.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.