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Finding the Third Proportional to 307,323.56 and 466,521.94

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Solution

The third proportional to 307,323.56 and 466,521.94 is: 708,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,323.56 : 466,521.94 = 466,521.94 : x
  2. Step 2: Convert to fraction form
    307,323.56/466,521.94 = 466,521.94/x
  3. Step 3: Cross multiply
    307,323.56x = 466,521.94 × 466,521.94
  4. Step 4: Simplify right side
    307,323.56x = 217,642,718,168.75
  5. Step 5: Solve for x
    x = 217,642,718,168.75/307,323.56
  6. Step 6: Final answer
    x = 708,187.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.