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Finding the Third Proportional to 362,277 and 794,538

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Solution

The third proportional to 362,277 and 794,538 is: 1,742,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,277 : 794,538 = 794,538 : x
  2. Step 2: Convert to fraction form
    362,277/794,538 = 794,538/x
  3. Step 3: Cross multiply
    362,277x = 794,538 × 794,538
  4. Step 4: Simplify right side
    362,277x = 631,290,633,444
  5. Step 5: Solve for x
    x = 631,290,633,444/362,277
  6. Step 6: Final answer
    x = 1,742,563.38

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Why These Related Problems?

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