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Finding the Third Proportional to 412,921.13 and 625,077

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Solution

The third proportional to 412,921.13 and 625,077 is: 946,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,921.13 : 625,077 = 625,077 : x
  2. Step 2: Convert to fraction form
    412,921.13/625,077 = 625,077/x
  3. Step 3: Cross multiply
    412,921.13x = 625,077 × 625,077
  4. Step 4: Simplify right side
    412,921.13x = 390,721,255,929
  5. Step 5: Solve for x
    x = 390,721,255,929/412,921.13
  6. Step 6: Final answer
    x = 946,237.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.