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Finding the Third Proportional to 263,937 and 586,758

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Solution

The third proportional to 263,937 and 586,758 is: 1,304,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,937 : 586,758 = 586,758 : x
  2. Step 2: Convert to fraction form
    263,937/586,758 = 586,758/x
  3. Step 3: Cross multiply
    263,937x = 586,758 × 586,758
  4. Step 4: Simplify right side
    263,937x = 344,284,950,564
  5. Step 5: Solve for x
    x = 344,284,950,564/263,937
  6. Step 6: Final answer
    x = 1,304,420.94

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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.