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Finding the Third Proportional to 420,318.75 and 669,136.88

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Solution

The third proportional to 420,318.75 and 669,136.88 is: 1,065,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,318.75 : 669,136.88 = 669,136.88 : x
  2. Step 2: Convert to fraction form
    420,318.75/669,136.88 = 669,136.88/x
  3. Step 3: Cross multiply
    420,318.75x = 669,136.88 × 669,136.88
  4. Step 4: Simplify right side
    420,318.75x = 447,744,157,484.77
  5. Step 5: Solve for x
    x = 447,744,157,484.77/420,318.75
  6. Step 6: Final answer
    x = 1,065,249.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.