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Finding the Third Proportional to 522,561.38 and 791,066.25

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Solution

The third proportional to 522,561.38 and 791,066.25 is: 1,197,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,561.38 : 791,066.25 = 791,066.25 : x
  2. Step 2: Convert to fraction form
    522,561.38/791,066.25 = 791,066.25/x
  3. Step 3: Cross multiply
    522,561.38x = 791,066.25 × 791,066.25
  4. Step 4: Simplify right side
    522,561.38x = 625,785,811,889.06
  5. Step 5: Solve for x
    x = 625,785,811,889.06/522,561.38
  6. Step 6: Final answer
    x = 1,197,535.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.