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Finding the Third Proportional to 270,234 and 625,608

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Solution

The third proportional to 270,234 and 625,608 is: 1,448,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,234 : 625,608 = 625,608 : x
  2. Step 2: Convert to fraction form
    270,234/625,608 = 625,608/x
  3. Step 3: Cross multiply
    270,234x = 625,608 × 625,608
  4. Step 4: Simplify right side
    270,234x = 391,385,369,664
  5. Step 5: Solve for x
    x = 391,385,369,664/270,234
  6. Step 6: Final answer
    x = 1,448,320.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.