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Finding the Third Proportional to 274,727 and 424,544

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Solution

The third proportional to 274,727 and 424,544 is: 656,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,727 : 424,544 = 424,544 : x
  2. Step 2: Convert to fraction form
    274,727/424,544 = 424,544/x
  3. Step 3: Cross multiply
    274,727x = 424,544 × 424,544
  4. Step 4: Simplify right side
    274,727x = 180,237,607,936
  5. Step 5: Solve for x
    x = 180,237,607,936/274,727
  6. Step 6: Final answer
    x = 656,060.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.