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Finding the Third Proportional to 362,254.50 and 794,493

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Solution

The third proportional to 362,254.50 and 794,493 is: 1,742,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,254.50 : 794,493 = 794,493 : x
  2. Step 2: Convert to fraction form
    362,254.50/794,493 = 794,493/x
  3. Step 3: Cross multiply
    362,254.50x = 794,493 × 794,493
  4. Step 4: Simplify right side
    362,254.50x = 631,219,127,049
  5. Step 5: Solve for x
    x = 631,219,127,049/362,254.50
  6. Step 6: Final answer
    x = 1,742,474.22

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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.