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Finding the Third Proportional to 273,755 and 560,632

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Solution

The third proportional to 273,755 and 560,632 is: 1,148,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,755 : 560,632 = 560,632 : x
  2. Step 2: Convert to fraction form
    273,755/560,632 = 560,632/x
  3. Step 3: Cross multiply
    273,755x = 560,632 × 560,632
  4. Step 4: Simplify right side
    273,755x = 314,308,239,424
  5. Step 5: Solve for x
    x = 314,308,239,424/273,755
  6. Step 6: Final answer
    x = 1,148,136.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.