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Finding the Third Proportional to 267,898 and 590,312

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Solution

The third proportional to 267,898 and 590,312 is: 1,300,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,898 : 590,312 = 590,312 : x
  2. Step 2: Convert to fraction form
    267,898/590,312 = 590,312/x
  3. Step 3: Cross multiply
    267,898x = 590,312 × 590,312
  4. Step 4: Simplify right side
    267,898x = 348,468,257,344
  5. Step 5: Solve for x
    x = 348,468,257,344/267,898
  6. Step 6: Final answer
    x = 1,300,749.75

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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.