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Finding the Third Proportional to 311,863.50 and 683,389.50

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Solution

The third proportional to 311,863.50 and 683,389.50 is: 1,497,518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,863.50 : 683,389.50 = 683,389.50 : x
  2. Step 2: Convert to fraction form
    311,863.50/683,389.50 = 683,389.50/x
  3. Step 3: Cross multiply
    311,863.50x = 683,389.50 × 683,389.50
  4. Step 4: Simplify right side
    311,863.50x = 467,021,208,710.25
  5. Step 5: Solve for x
    x = 467,021,208,710.25/311,863.50
  6. Step 6: Final answer
    x = 1,497,518.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.