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Finding the Third Proportional to 269,606 and 586,777

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Solution

The third proportional to 269,606 and 586,777 is: 1,277,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,606 : 586,777 = 586,777 : x
  2. Step 2: Convert to fraction form
    269,606/586,777 = 586,777/x
  3. Step 3: Cross multiply
    269,606x = 586,777 × 586,777
  4. Step 4: Simplify right side
    269,606x = 344,307,247,729
  5. Step 5: Solve for x
    x = 344,307,247,729/269,606
  6. Step 6: Final answer
    x = 1,277,075.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.