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Finding the Third Proportional to 261,956 and 571,880

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Solution

The third proportional to 261,956 and 571,880 is: 1,248,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,956 : 571,880 = 571,880 : x
  2. Step 2: Convert to fraction form
    261,956/571,880 = 571,880/x
  3. Step 3: Cross multiply
    261,956x = 571,880 × 571,880
  4. Step 4: Simplify right side
    261,956x = 327,046,734,400
  5. Step 5: Solve for x
    x = 327,046,734,400/261,956
  6. Step 6: Final answer
    x = 1,248,479.65

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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.