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Finding the Third Proportional to 297,376.31 and 446,155.59

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Solution

The third proportional to 297,376.31 and 446,155.59 is: 669,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,376.31 : 446,155.59 = 446,155.59 : x
  2. Step 2: Convert to fraction form
    297,376.31/446,155.59 = 446,155.59/x
  3. Step 3: Cross multiply
    297,376.31x = 446,155.59 × 446,155.59
  4. Step 4: Simplify right side
    297,376.31x = 199,054,813,834.42
  5. Step 5: Solve for x
    x = 199,054,813,834.42/297,376.31
  6. Step 6: Final answer
    x = 669,370.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.