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Finding the Third Proportional to 262,091 and 415,655

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Solution

The third proportional to 262,091 and 415,655 is: 659,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,091 : 415,655 = 415,655 : x
  2. Step 2: Convert to fraction form
    262,091/415,655 = 415,655/x
  3. Step 3: Cross multiply
    262,091x = 415,655 × 415,655
  4. Step 4: Simplify right side
    262,091x = 172,769,079,025
  5. Step 5: Solve for x
    x = 172,769,079,025/262,091
  6. Step 6: Final answer
    x = 659,195.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.