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Finding the Third Proportional to 273,084.75 and 424,008

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Solution

The third proportional to 273,084.75 and 424,008 is: 658,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,084.75 : 424,008 = 424,008 : x
  2. Step 2: Convert to fraction form
    273,084.75/424,008 = 424,008/x
  3. Step 3: Cross multiply
    273,084.75x = 424,008 × 424,008
  4. Step 4: Simplify right side
    273,084.75x = 179,782,784,064
  5. Step 5: Solve for x
    x = 179,782,784,064/273,084.75
  6. Step 6: Final answer
    x = 658,340.62

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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.