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Finding the Third Proportional to 250,578 and 546,381

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Solution

The third proportional to 250,578 and 546,381 is: 1,191,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,578 : 546,381 = 546,381 : x
  2. Step 2: Convert to fraction form
    250,578/546,381 = 546,381/x
  3. Step 3: Cross multiply
    250,578x = 546,381 × 546,381
  4. Step 4: Simplify right side
    250,578x = 298,532,197,161
  5. Step 5: Solve for x
    x = 298,532,197,161/250,578
  6. Step 6: Final answer
    x = 1,191,374.33

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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.