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Finding the Third Proportional to 321,707.53 and 471,808.41

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Solution

The third proportional to 321,707.53 and 471,808.41 is: 691,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,707.53 : 471,808.41 = 471,808.41 : x
  2. Step 2: Convert to fraction form
    321,707.53/471,808.41 = 471,808.41/x
  3. Step 3: Cross multiply
    321,707.53x = 471,808.41 × 471,808.41
  4. Step 4: Simplify right side
    321,707.53x = 222,603,172,208.17
  5. Step 5: Solve for x
    x = 222,603,172,208.17/321,707.53
  6. Step 6: Final answer
    x = 691,942.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.