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Finding the Third Proportional to 268,608 and 564,864

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Solution

The third proportional to 268,608 and 564,864 is: 1,187,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,608 : 564,864 = 564,864 : x
  2. Step 2: Convert to fraction form
    268,608/564,864 = 564,864/x
  3. Step 3: Cross multiply
    268,608x = 564,864 × 564,864
  4. Step 4: Simplify right side
    268,608x = 319,071,338,496
  5. Step 5: Solve for x
    x = 319,071,338,496/268,608
  6. Step 6: Final answer
    x = 1,187,869.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.