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Finding the Third Proportional to 266,906 and 412,830

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Solution

The third proportional to 266,906 and 412,830 is: 638,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,906 : 412,830 = 412,830 : x
  2. Step 2: Convert to fraction form
    266,906/412,830 = 412,830/x
  3. Step 3: Cross multiply
    266,906x = 412,830 × 412,830
  4. Step 4: Simplify right side
    266,906x = 170,428,608,900
  5. Step 5: Solve for x
    x = 170,428,608,900/266,906
  6. Step 6: Final answer
    x = 638,534.20

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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.