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Finding the Third Proportional to 267,447 and 587,598

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Solution

The third proportional to 267,447 and 587,598 is: 1,290,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,447 : 587,598 = 587,598 : x
  2. Step 2: Convert to fraction form
    267,447/587,598 = 587,598/x
  3. Step 3: Cross multiply
    267,447x = 587,598 × 587,598
  4. Step 4: Simplify right side
    267,447x = 345,271,409,604
  5. Step 5: Solve for x
    x = 345,271,409,604/267,447
  6. Step 6: Final answer
    x = 1,290,990.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.