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Finding the Third Proportional to 346,266 and 541,269

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Solution

The third proportional to 346,266 and 541,269 is: 846,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,266 : 541,269 = 541,269 : x
  2. Step 2: Convert to fraction form
    346,266/541,269 = 541,269/x
  3. Step 3: Cross multiply
    346,266x = 541,269 × 541,269
  4. Step 4: Simplify right side
    346,266x = 292,972,130,361
  5. Step 5: Solve for x
    x = 292,972,130,361/346,266
  6. Step 6: Final answer
    x = 846,089.80

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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.