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Finding the Third Proportional to 266,380.50 and 407,499

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Solution

The third proportional to 266,380.50 and 407,499 is: 623,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,380.50 : 407,499 = 407,499 : x
  2. Step 2: Convert to fraction form
    266,380.50/407,499 = 407,499/x
  3. Step 3: Cross multiply
    266,380.50x = 407,499 × 407,499
  4. Step 4: Simplify right side
    266,380.50x = 166,055,435,001
  5. Step 5: Solve for x
    x = 166,055,435,001/266,380.50
  6. Step 6: Final answer
    x = 623,376.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.