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Finding the Third Proportional to 408,071 and 621,134

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Solution

The third proportional to 408,071 and 621,134 is: 945,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,071 : 621,134 = 621,134 : x
  2. Step 2: Convert to fraction form
    408,071/621,134 = 621,134/x
  3. Step 3: Cross multiply
    408,071x = 621,134 × 621,134
  4. Step 4: Simplify right side
    408,071x = 385,807,445,956
  5. Step 5: Solve for x
    x = 385,807,445,956/408,071
  6. Step 6: Final answer
    x = 945,441.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.