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Finding the Third Proportional to 224,065.50 and 483,786.50

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Solution

The third proportional to 224,065.50 and 483,786.50 is: 1,044,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,065.50 : 483,786.50 = 483,786.50 : x
  2. Step 2: Convert to fraction form
    224,065.50/483,786.50 = 483,786.50/x
  3. Step 3: Cross multiply
    224,065.50x = 483,786.50 × 483,786.50
  4. Step 4: Simplify right side
    224,065.50x = 234,049,377,582.25
  5. Step 5: Solve for x
    x = 234,049,377,582.25/224,065.50
  6. Step 6: Final answer
    x = 1,044,557.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.