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Finding the Third Proportional to 533,443.50 and 817,983

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Solution

The third proportional to 533,443.50 and 817,983 is: 1,254,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,443.50 : 817,983 = 817,983 : x
  2. Step 2: Convert to fraction form
    533,443.50/817,983 = 817,983/x
  3. Step 3: Cross multiply
    533,443.50x = 817,983 × 817,983
  4. Step 4: Simplify right side
    533,443.50x = 669,096,188,289
  5. Step 5: Solve for x
    x = 669,096,188,289/533,443.50
  6. Step 6: Final answer
    x = 1,254,296.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.