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Finding the Third Proportional to 468,117.56 and 704,868.75

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Solution

The third proportional to 468,117.56 and 704,868.75 is: 1,061,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,117.56 : 704,868.75 = 704,868.75 : x
  2. Step 2: Convert to fraction form
    468,117.56/704,868.75 = 704,868.75/x
  3. Step 3: Cross multiply
    468,117.56x = 704,868.75 × 704,868.75
  4. Step 4: Simplify right side
    468,117.56x = 496,839,954,726.56
  5. Step 5: Solve for x
    x = 496,839,954,726.56/468,117.56
  6. Step 6: Final answer
    x = 1,061,357.22

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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.