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Finding the Third Proportional to 462,035 and 691,173

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Solution

The third proportional to 462,035 and 691,173 is: 1,033,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,035 : 691,173 = 691,173 : x
  2. Step 2: Convert to fraction form
    462,035/691,173 = 691,173/x
  3. Step 3: Cross multiply
    462,035x = 691,173 × 691,173
  4. Step 4: Simplify right side
    462,035x = 477,720,115,929
  5. Step 5: Solve for x
    x = 477,720,115,929/462,035
  6. Step 6: Final answer
    x = 1,033,947.90

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