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Finding the Third Proportional to 263,808 and 586,688

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Solution

The third proportional to 263,808 and 586,688 is: 1,304,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,808 : 586,688 = 586,688 : x
  2. Step 2: Convert to fraction form
    263,808/586,688 = 586,688/x
  3. Step 3: Cross multiply
    263,808x = 586,688 × 586,688
  4. Step 4: Simplify right side
    263,808x = 344,202,809,344
  5. Step 5: Solve for x
    x = 344,202,809,344/263,808
  6. Step 6: Final answer
    x = 1,304,747.43

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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.