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Finding the Third Proportional to 274,113.56 and 411,170.63

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Solution

The third proportional to 274,113.56 and 411,170.63 is: 616,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,113.56 : 411,170.63 = 411,170.63 : x
  2. Step 2: Convert to fraction form
    274,113.56/411,170.63 = 411,170.63/x
  3. Step 3: Cross multiply
    274,113.56x = 411,170.63 × 411,170.63
  4. Step 4: Simplify right side
    274,113.56x = 169,061,282,862.89
  5. Step 5: Solve for x
    x = 169,061,282,862.89/274,113.56
  6. Step 6: Final answer
    x = 616,756.36

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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.