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Finding the Third Proportional to 466,618.50 and 682,429.50

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Solution

The third proportional to 466,618.50 and 682,429.50 is: 998,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,618.50 : 682,429.50 = 682,429.50 : x
  2. Step 2: Convert to fraction form
    466,618.50/682,429.50 = 682,429.50/x
  3. Step 3: Cross multiply
    466,618.50x = 682,429.50 × 682,429.50
  4. Step 4: Simplify right side
    466,618.50x = 465,710,022,470.25
  5. Step 5: Solve for x
    x = 465,710,022,470.25/466,618.50
  6. Step 6: Final answer
    x = 998,053.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.