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Finding the Third Proportional to 408,294 and 600,777

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Solution

The third proportional to 408,294 and 600,777 is: 884,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,294 : 600,777 = 600,777 : x
  2. Step 2: Convert to fraction form
    408,294/600,777 = 600,777/x
  3. Step 3: Cross multiply
    408,294x = 600,777 × 600,777
  4. Step 4: Simplify right side
    408,294x = 360,933,003,729
  5. Step 5: Solve for x
    x = 360,933,003,729/408,294
  6. Step 6: Final answer
    x = 884,002.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.