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Finding the Third Proportional to 266,118 and 581,562

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Solution

The third proportional to 266,118 and 581,562 is: 1,270,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,118 : 581,562 = 581,562 : x
  2. Step 2: Convert to fraction form
    266,118/581,562 = 581,562/x
  3. Step 3: Cross multiply
    266,118x = 581,562 × 581,562
  4. Step 4: Simplify right side
    266,118x = 338,214,359,844
  5. Step 5: Solve for x
    x = 338,214,359,844/266,118
  6. Step 6: Final answer
    x = 1,270,918.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.