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Finding the Third Proportional to 266,616 and 374,976

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Solution

The third proportional to 266,616 and 374,976 is: 527,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,616 : 374,976 = 374,976 : x
  2. Step 2: Convert to fraction form
    266,616/374,976 = 374,976/x
  3. Step 3: Cross multiply
    266,616x = 374,976 × 374,976
  4. Step 4: Simplify right side
    266,616x = 140,607,000,576
  5. Step 5: Solve for x
    x = 140,607,000,576/266,616
  6. Step 6: Final answer
    x = 527,376.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.