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Finding the Third Proportional to 362,817 and 567,033.75

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Solution

The third proportional to 362,817 and 567,033.75 is: 886,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,817 : 567,033.75 = 567,033.75 : x
  2. Step 2: Convert to fraction form
    362,817/567,033.75 = 567,033.75/x
  3. Step 3: Cross multiply
    362,817x = 567,033.75 × 567,033.75
  4. Step 4: Simplify right side
    362,817x = 321,527,273,639.06
  5. Step 5: Solve for x
    x = 321,527,273,639.06/362,817
  6. Step 6: Final answer
    x = 886,196.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.