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Finding the Third Proportional to 270,032 and 625,142

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Solution

The third proportional to 270,032 and 625,142 is: 1,447,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,032 : 625,142 = 625,142 : x
  2. Step 2: Convert to fraction form
    270,032/625,142 = 625,142/x
  3. Step 3: Cross multiply
    270,032x = 625,142 × 625,142
  4. Step 4: Simplify right side
    270,032x = 390,802,520,164
  5. Step 5: Solve for x
    x = 390,802,520,164/270,032
  6. Step 6: Final answer
    x = 1,447,245.22

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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.