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Finding the Third Proportional to 266,901.75 and 412,824.38

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Solution

The third proportional to 266,901.75 and 412,824.38 is: 638,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,901.75 : 412,824.38 = 412,824.38 : x
  2. Step 2: Convert to fraction form
    266,901.75/412,824.38 = 412,824.38/x
  3. Step 3: Cross multiply
    266,901.75x = 412,824.38 × 412,824.38
  4. Step 4: Simplify right side
    266,901.75x = 170,423,964,594.14
  5. Step 5: Solve for x
    x = 170,423,964,594.14/266,901.75
  6. Step 6: Final answer
    x = 638,526.97

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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.