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Finding the Third Proportional to 408,941 and 620,769

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Solution

The third proportional to 408,941 and 620,769 is: 942,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,941 : 620,769 = 620,769 : x
  2. Step 2: Convert to fraction form
    408,941/620,769 = 620,769/x
  3. Step 3: Cross multiply
    408,941x = 620,769 × 620,769
  4. Step 4: Simplify right side
    408,941x = 385,354,151,361
  5. Step 5: Solve for x
    x = 385,354,151,361/408,941
  6. Step 6: Final answer
    x = 942,322.12

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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.