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Finding the Third Proportional to 269,817 and 586,290

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Solution

The third proportional to 269,817 and 586,290 is: 1,273,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,817 : 586,290 = 586,290 : x
  2. Step 2: Convert to fraction form
    269,817/586,290 = 586,290/x
  3. Step 3: Cross multiply
    269,817x = 586,290 × 586,290
  4. Step 4: Simplify right side
    269,817x = 343,735,964,100
  5. Step 5: Solve for x
    x = 343,735,964,100/269,817
  6. Step 6: Final answer
    x = 1,273,959.62

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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.