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Finding the Third Proportional to 274,032 and 411,048

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Solution

The third proportional to 274,032 and 411,048 is: 616,572

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,032 : 411,048 = 411,048 : x
  2. Step 2: Convert to fraction form
    274,032/411,048 = 411,048/x
  3. Step 3: Cross multiply
    274,032x = 411,048 × 411,048
  4. Step 4: Simplify right side
    274,032x = 168,960,458,304
  5. Step 5: Solve for x
    x = 168,960,458,304/274,032
  6. Step 6: Final answer
    x = 616,572

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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.