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Finding the Third Proportional to 270,014 and 625,103

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Solution

The third proportional to 270,014 and 625,103 is: 1,447,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,014 : 625,103 = 625,103 : x
  2. Step 2: Convert to fraction form
    270,014/625,103 = 625,103/x
  3. Step 3: Cross multiply
    270,014x = 625,103 × 625,103
  4. Step 4: Simplify right side
    270,014x = 390,753,760,609
  5. Step 5: Solve for x
    x = 390,753,760,609/270,014
  6. Step 6: Final answer
    x = 1,447,161.11

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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.