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Finding the Third Proportional to 276,144 and 591,609

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Solution

The third proportional to 276,144 and 591,609 is: 1,267,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,144 : 591,609 = 591,609 : x
  2. Step 2: Convert to fraction form
    276,144/591,609 = 591,609/x
  3. Step 3: Cross multiply
    276,144x = 591,609 × 591,609
  4. Step 4: Simplify right side
    276,144x = 350,001,208,881
  5. Step 5: Solve for x
    x = 350,001,208,881/276,144
  6. Step 6: Final answer
    x = 1,267,459.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.