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Finding the Third Proportional to 260,348 and 541,429

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Solution

The third proportional to 260,348 and 541,429 is: 1,125,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,348 : 541,429 = 541,429 : x
  2. Step 2: Convert to fraction form
    260,348/541,429 = 541,429/x
  3. Step 3: Cross multiply
    260,348x = 541,429 × 541,429
  4. Step 4: Simplify right side
    260,348x = 293,145,362,041
  5. Step 5: Solve for x
    x = 293,145,362,041/260,348
  6. Step 6: Final answer
    x = 1,125,975.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.