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Finding the Third Proportional to 266,396 and 566,692

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Solution

The third proportional to 266,396 and 566,692 is: 1,205,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,396 : 566,692 = 566,692 : x
  2. Step 2: Convert to fraction form
    266,396/566,692 = 566,692/x
  3. Step 3: Cross multiply
    266,396x = 566,692 × 566,692
  4. Step 4: Simplify right side
    266,396x = 321,139,822,864
  5. Step 5: Solve for x
    x = 321,139,822,864/266,396
  6. Step 6: Final answer
    x = 1,205,497.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.