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Finding the Third Proportional to 401,992 and 625,122

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Solution

The third proportional to 401,992 and 625,122 is: 972,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,992 : 625,122 = 625,122 : x
  2. Step 2: Convert to fraction form
    401,992/625,122 = 625,122/x
  3. Step 3: Cross multiply
    401,992x = 625,122 × 625,122
  4. Step 4: Simplify right side
    401,992x = 390,777,514,884
  5. Step 5: Solve for x
    x = 390,777,514,884/401,992
  6. Step 6: Final answer
    x = 972,102.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.