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Finding the Third Proportional to 274,124.25 and 411,186.38

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Solution

The third proportional to 274,124.25 and 411,186.38 is: 616,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,124.25 : 411,186.38 = 411,186.38 : x
  2. Step 2: Convert to fraction form
    274,124.25/411,186.38 = 411,186.38/x
  3. Step 3: Cross multiply
    274,124.25x = 411,186.38 × 411,186.38
  4. Step 4: Simplify right side
    274,124.25x = 169,074,234,985.64
  5. Step 5: Solve for x
    x = 169,074,234,985.64/274,124.25
  6. Step 6: Final answer
    x = 616,779.56

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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.