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Finding the Third Proportional to 262,040 and 415,596

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Solution

The third proportional to 262,040 and 415,596 is: 659,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,040 : 415,596 = 415,596 : x
  2. Step 2: Convert to fraction form
    262,040/415,596 = 415,596/x
  3. Step 3: Cross multiply
    262,040x = 415,596 × 415,596
  4. Step 4: Simplify right side
    262,040x = 172,720,035,216
  5. Step 5: Solve for x
    x = 172,720,035,216/262,040
  6. Step 6: Final answer
    x = 659,136.14

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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.