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Finding the Third Proportional to 250,672 and 541,289

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Solution

The third proportional to 250,672 and 541,289 is: 1,168,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,672 : 541,289 = 541,289 : x
  2. Step 2: Convert to fraction form
    250,672/541,289 = 541,289/x
  3. Step 3: Cross multiply
    250,672x = 541,289 × 541,289
  4. Step 4: Simplify right side
    250,672x = 292,993,781,521
  5. Step 5: Solve for x
    x = 292,993,781,521/250,672
  6. Step 6: Final answer
    x = 1,168,833.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.