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Finding the Third Proportional to 250,922 and 541,246

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Solution

The third proportional to 250,922 and 541,246 is: 1,167,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,922 : 541,246 = 541,246 : x
  2. Step 2: Convert to fraction form
    250,922/541,246 = 541,246/x
  3. Step 3: Cross multiply
    250,922x = 541,246 × 541,246
  4. Step 4: Simplify right side
    250,922x = 292,947,232,516
  5. Step 5: Solve for x
    x = 292,947,232,516/250,922
  6. Step 6: Final answer
    x = 1,167,483.25

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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.