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Finding the Third Proportional to 266,976 and 401,598

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Solution

The third proportional to 266,976 and 401,598 is: 604,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,976 : 401,598 = 401,598 : x
  2. Step 2: Convert to fraction form
    266,976/401,598 = 401,598/x
  3. Step 3: Cross multiply
    266,976x = 401,598 × 401,598
  4. Step 4: Simplify right side
    266,976x = 161,280,953,604
  5. Step 5: Solve for x
    x = 161,280,953,604/266,976
  6. Step 6: Final answer
    x = 604,102.82

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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.