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Finding the Third Proportional to 266,850 and 412,060.50

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Solution

The third proportional to 266,850 and 412,060.50 is: 636,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,850 : 412,060.50 = 412,060.50 : x
  2. Step 2: Convert to fraction form
    266,850/412,060.50 = 412,060.50/x
  3. Step 3: Cross multiply
    266,850x = 412,060.50 × 412,060.50
  4. Step 4: Simplify right side
    266,850x = 169,793,855,660.25
  5. Step 5: Solve for x
    x = 169,793,855,660.25/266,850
  6. Step 6: Final answer
    x = 636,289.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.