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Finding the Third Proportional to 263,661 and 564,686

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Solution

The third proportional to 263,661 and 564,686 is: 1,209,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,661 : 564,686 = 564,686 : x
  2. Step 2: Convert to fraction form
    263,661/564,686 = 564,686/x
  3. Step 3: Cross multiply
    263,661x = 564,686 × 564,686
  4. Step 4: Simplify right side
    263,661x = 318,870,278,596
  5. Step 5: Solve for x
    x = 318,870,278,596/263,661
  6. Step 6: Final answer
    x = 1,209,394.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.