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Finding the Third Proportional to 383,318.50 and 561,035.50

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Solution

The third proportional to 383,318.50 and 561,035.50 is: 821,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,318.50 : 561,035.50 = 561,035.50 : x
  2. Step 2: Convert to fraction form
    383,318.50/561,035.50 = 561,035.50/x
  3. Step 3: Cross multiply
    383,318.50x = 561,035.50 × 561,035.50
  4. Step 4: Simplify right side
    383,318.50x = 314,760,832,260.25
  5. Step 5: Solve for x
    x = 314,760,832,260.25/383,318.50
  6. Step 6: Final answer
    x = 821,146.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.