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Finding the Third Proportional to 301,471 and 662,112

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Solution

The third proportional to 301,471 and 662,112 is: 1,454,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,471 : 662,112 = 662,112 : x
  2. Step 2: Convert to fraction form
    301,471/662,112 = 662,112/x
  3. Step 3: Cross multiply
    301,471x = 662,112 × 662,112
  4. Step 4: Simplify right side
    301,471x = 438,392,300,544
  5. Step 5: Solve for x
    x = 438,392,300,544/301,471
  6. Step 6: Final answer
    x = 1,454,177.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.