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Finding the Third Proportional to 412,966 and 625,164

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Solution

The third proportional to 412,966 and 625,164 is: 946,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,966 : 625,164 = 625,164 : x
  2. Step 2: Convert to fraction form
    412,966/625,164 = 625,164/x
  3. Step 3: Cross multiply
    412,966x = 625,164 × 625,164
  4. Step 4: Simplify right side
    412,966x = 390,830,026,896
  5. Step 5: Solve for x
    x = 390,830,026,896/412,966
  6. Step 6: Final answer
    x = 946,397.59

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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.