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Finding the Third Proportional to 269,304 and 583,182

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Solution

The third proportional to 269,304 and 583,182 is: 1,262,889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,304 : 583,182 = 583,182 : x
  2. Step 2: Convert to fraction form
    269,304/583,182 = 583,182/x
  3. Step 3: Cross multiply
    269,304x = 583,182 × 583,182
  4. Step 4: Simplify right side
    269,304x = 340,101,245,124
  5. Step 5: Solve for x
    x = 340,101,245,124/269,304
  6. Step 6: Final answer
    x = 1,262,889.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.