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Finding the Third Proportional to 362,817 and 567,035

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Solution

The third proportional to 362,817 and 567,035 is: 886,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,817 : 567,035 = 567,035 : x
  2. Step 2: Convert to fraction form
    362,817/567,035 = 567,035/x
  3. Step 3: Cross multiply
    362,817x = 567,035 × 567,035
  4. Step 4: Simplify right side
    362,817x = 321,528,691,225
  5. Step 5: Solve for x
    x = 321,528,691,225/362,817
  6. Step 6: Final answer
    x = 886,200.73

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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.