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Finding the Third Proportional to 462,040 and 691,179

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Solution

The third proportional to 462,040 and 691,179 is: 1,033,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,040 : 691,179 = 691,179 : x
  2. Step 2: Convert to fraction form
    462,040/691,179 = 691,179/x
  3. Step 3: Cross multiply
    462,040x = 691,179 × 691,179
  4. Step 4: Simplify right side
    462,040x = 477,728,410,041
  5. Step 5: Solve for x
    x = 477,728,410,041/462,040
  6. Step 6: Final answer
    x = 1,033,954.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.