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Finding the Third Proportional to 465,655.50 and 1,022,760

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Solution

The third proportional to 465,655.50 and 1,022,760 is: 2,246,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,655.50 : 1,022,760 = 1,022,760 : x
  2. Step 2: Convert to fraction form
    465,655.50/1,022,760 = 1,022,760/x
  3. Step 3: Cross multiply
    465,655.50x = 1,022,760 × 1,022,760
  4. Step 4: Simplify right side
    465,655.50x = 1,046,038,017,600
  5. Step 5: Solve for x
    x = 1,046,038,017,600/465,655.50
  6. Step 6: Final answer
    x = 2,246,377.46

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