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Finding the Third Proportional to 263,814 and 586,704

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Solution

The third proportional to 263,814 and 586,704 is: 1,304,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,814 : 586,704 = 586,704 : x
  2. Step 2: Convert to fraction form
    263,814/586,704 = 586,704/x
  3. Step 3: Cross multiply
    263,814x = 586,704 × 586,704
  4. Step 4: Simplify right side
    263,814x = 344,221,583,616
  5. Step 5: Solve for x
    x = 344,221,583,616/263,814
  6. Step 6: Final answer
    x = 1,304,788.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.