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Finding the Third Proportional to 467,561.25 and 1,022,600.25

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Solution

The third proportional to 467,561.25 and 1,022,600.25 is: 2,236,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,561.25 : 1,022,600.25 = 1,022,600.25 : x
  2. Step 2: Convert to fraction form
    467,561.25/1,022,600.25 = 1,022,600.25/x
  3. Step 3: Cross multiply
    467,561.25x = 1,022,600.25 × 1,022,600.25
  4. Step 4: Simplify right side
    467,561.25x = 1,045,711,271,300.06
  5. Step 5: Solve for x
    x = 1,045,711,271,300.06/467,561.25
  6. Step 6: Final answer
    x = 2,236,522.53

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