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Finding the Third Proportional to 274,132.50 and 411,199.50

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Solution

The third proportional to 274,132.50 and 411,199.50 is: 616,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,132.50 : 411,199.50 = 411,199.50 : x
  2. Step 2: Convert to fraction form
    274,132.50/411,199.50 = 411,199.50/x
  3. Step 3: Cross multiply
    274,132.50x = 411,199.50 × 411,199.50
  4. Step 4: Simplify right side
    274,132.50x = 169,085,028,800.25
  5. Step 5: Solve for x
    x = 169,085,028,800.25/274,132.50
  6. Step 6: Final answer
    x = 616,800.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.