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Finding the Third Proportional to 269,823 and 586,302

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Solution

The third proportional to 269,823 and 586,302 is: 1,273,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,823 : 586,302 = 586,302 : x
  2. Step 2: Convert to fraction form
    269,823/586,302 = 586,302/x
  3. Step 3: Cross multiply
    269,823x = 586,302 × 586,302
  4. Step 4: Simplify right side
    269,823x = 343,750,035,204
  5. Step 5: Solve for x
    x = 343,750,035,204/269,823
  6. Step 6: Final answer
    x = 1,273,983.45

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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.