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Finding the Third Proportional to 262,062 and 544,860

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Solution

The third proportional to 262,062 and 544,860 is: 1,132,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,062 : 544,860 = 544,860 : x
  2. Step 2: Convert to fraction form
    262,062/544,860 = 544,860/x
  3. Step 3: Cross multiply
    262,062x = 544,860 × 544,860
  4. Step 4: Simplify right side
    262,062x = 296,872,419,600
  5. Step 5: Solve for x
    x = 296,872,419,600/262,062
  6. Step 6: Final answer
    x = 1,132,832.76

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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.