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Finding the Third Proportional to 267,234 and 556,581

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Solution

The third proportional to 267,234 and 556,581 is: 1,159,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,234 : 556,581 = 556,581 : x
  2. Step 2: Convert to fraction form
    267,234/556,581 = 556,581/x
  3. Step 3: Cross multiply
    267,234x = 556,581 × 556,581
  4. Step 4: Simplify right side
    267,234x = 309,782,409,561
  5. Step 5: Solve for x
    x = 309,782,409,561/267,234
  6. Step 6: Final answer
    x = 1,159,217.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.