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Finding the Third Proportional to 582,754 and 879,491

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Solution

The third proportional to 582,754 and 879,491 is: 1,327,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,754 : 879,491 = 879,491 : x
  2. Step 2: Convert to fraction form
    582,754/879,491 = 879,491/x
  3. Step 3: Cross multiply
    582,754x = 879,491 × 879,491
  4. Step 4: Simplify right side
    582,754x = 773,504,419,081
  5. Step 5: Solve for x
    x = 773,504,419,081/582,754
  6. Step 6: Final answer
    x = 1,327,325.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.