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Finding the Third Proportional to 408,586.50 and 634,131

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Solution

The third proportional to 408,586.50 and 634,131 is: 984,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,586.50 : 634,131 = 634,131 : x
  2. Step 2: Convert to fraction form
    408,586.50/634,131 = 634,131/x
  3. Step 3: Cross multiply
    408,586.50x = 634,131 × 634,131
  4. Step 4: Simplify right side
    408,586.50x = 402,122,125,161
  5. Step 5: Solve for x
    x = 402,122,125,161/408,586.50
  6. Step 6: Final answer
    x = 984,178.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.