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Finding the Third Proportional to 394,533 and 862,870.50

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Solution

The third proportional to 394,533 and 862,870.50 is: 1,887,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,533 : 862,870.50 = 862,870.50 : x
  2. Step 2: Convert to fraction form
    394,533/862,870.50 = 862,870.50/x
  3. Step 3: Cross multiply
    394,533x = 862,870.50 × 862,870.50
  4. Step 4: Simplify right side
    394,533x = 744,545,499,770.25
  5. Step 5: Solve for x
    x = 744,545,499,770.25/394,533
  6. Step 6: Final answer
    x = 1,887,156.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.