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Finding the Third Proportional to 270,393 and 625,944

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Solution

The third proportional to 270,393 and 625,944 is: 1,449,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,393 : 625,944 = 625,944 : x
  2. Step 2: Convert to fraction form
    270,393/625,944 = 625,944/x
  3. Step 3: Cross multiply
    270,393x = 625,944 × 625,944
  4. Step 4: Simplify right side
    270,393x = 391,805,891,136
  5. Step 5: Solve for x
    x = 391,805,891,136/270,393
  6. Step 6: Final answer
    x = 1,449,023.80

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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.