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Finding the Third Proportional to 346,266 and 541,267

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Solution

The third proportional to 346,266 and 541,267 is: 846,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,266 : 541,267 = 541,267 : x
  2. Step 2: Convert to fraction form
    346,266/541,267 = 541,267/x
  3. Step 3: Cross multiply
    346,266x = 541,267 × 541,267
  4. Step 4: Simplify right side
    346,266x = 292,969,965,289
  5. Step 5: Solve for x
    x = 292,969,965,289/346,266
  6. Step 6: Final answer
    x = 846,083.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.