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Finding the Third Proportional to 241,452 and 514,092

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Solution

The third proportional to 241,452 and 514,092 is: 1,094,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,452 : 514,092 = 514,092 : x
  2. Step 2: Convert to fraction form
    241,452/514,092 = 514,092/x
  3. Step 3: Cross multiply
    241,452x = 514,092 × 514,092
  4. Step 4: Simplify right side
    241,452x = 264,290,584,464
  5. Step 5: Solve for x
    x = 264,290,584,464/241,452
  6. Step 6: Final answer
    x = 1,094,588.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.