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Finding the Third Proportional to 411,571.13 and 633,759.19

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Solution

The third proportional to 411,571.13 and 633,759.19 is: 975,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,571.13 : 633,759.19 = 633,759.19 : x
  2. Step 2: Convert to fraction form
    411,571.13/633,759.19 = 633,759.19/x
  3. Step 3: Cross multiply
    411,571.13x = 633,759.19 × 633,759.19
  4. Step 4: Simplify right side
    411,571.13x = 401,650,707,740.66
  5. Step 5: Solve for x
    x = 401,650,707,740.66/411,571.13
  6. Step 6: Final answer
    x = 975,896.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.