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Finding the Third Proportional to 273,850.50 and 409,294.50

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Solution

The third proportional to 273,850.50 and 409,294.50 is: 611,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,850.50 : 409,294.50 = 409,294.50 : x
  2. Step 2: Convert to fraction form
    273,850.50/409,294.50 = 409,294.50/x
  3. Step 3: Cross multiply
    273,850.50x = 409,294.50 × 409,294.50
  4. Step 4: Simplify right side
    273,850.50x = 167,521,987,730.25
  5. Step 5: Solve for x
    x = 167,521,987,730.25/273,850.50
  6. Step 6: Final answer
    x = 611,727.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.