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Finding the Third Proportional to 263,972 and 586,840

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Solution

The third proportional to 263,972 and 586,840 is: 1,304,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,972 : 586,840 = 586,840 : x
  2. Step 2: Convert to fraction form
    263,972/586,840 = 586,840/x
  3. Step 3: Cross multiply
    263,972x = 586,840 × 586,840
  4. Step 4: Simplify right side
    263,972x = 344,381,185,600
  5. Step 5: Solve for x
    x = 344,381,185,600/263,972
  6. Step 6: Final answer
    x = 1,304,612.56

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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.