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Finding the Third Proportional to 362,253 and 795,867

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Solution

The third proportional to 362,253 and 795,867 is: 1,748,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,253 : 795,867 = 795,867 : x
  2. Step 2: Convert to fraction form
    362,253/795,867 = 795,867/x
  3. Step 3: Cross multiply
    362,253x = 795,867 × 795,867
  4. Step 4: Simplify right side
    362,253x = 633,404,281,689
  5. Step 5: Solve for x
    x = 633,404,281,689/362,253
  6. Step 6: Final answer
    x = 1,748,513.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.