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Finding the Third Proportional to 269,849 and 402,586

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Solution

The third proportional to 269,849 and 402,586 is: 600,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,849 : 402,586 = 402,586 : x
  2. Step 2: Convert to fraction form
    269,849/402,586 = 402,586/x
  3. Step 3: Cross multiply
    269,849x = 402,586 × 402,586
  4. Step 4: Simplify right side
    269,849x = 162,075,487,396
  5. Step 5: Solve for x
    x = 162,075,487,396/269,849
  6. Step 6: Final answer
    x = 600,615.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.