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Finding the Third Proportional to 266,841 and 412,047

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Solution

The third proportional to 266,841 and 412,047 is: 636,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,841 : 412,047 = 412,047 : x
  2. Step 2: Convert to fraction form
    266,841/412,047 = 412,047/x
  3. Step 3: Cross multiply
    266,841x = 412,047 × 412,047
  4. Step 4: Simplify right side
    266,841x = 169,782,730,209
  5. Step 5: Solve for x
    x = 169,782,730,209/266,841
  6. Step 6: Final answer
    x = 636,269.28

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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.