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Finding the Third Proportional to 408,070 and 621,137

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Solution

The third proportional to 408,070 and 621,137 is: 945,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,070 : 621,137 = 621,137 : x
  2. Step 2: Convert to fraction form
    408,070/621,137 = 621,137/x
  3. Step 3: Cross multiply
    408,070x = 621,137 × 621,137
  4. Step 4: Simplify right side
    408,070x = 385,811,172,769
  5. Step 5: Solve for x
    x = 385,811,172,769/408,070
  6. Step 6: Final answer
    x = 945,453.41

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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.