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Finding the Third Proportional to 383,904 and 897,160.50

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Solution

The third proportional to 383,904 and 897,160.50 is: 2,096,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,904 : 897,160.50 = 897,160.50 : x
  2. Step 2: Convert to fraction form
    383,904/897,160.50 = 897,160.50/x
  3. Step 3: Cross multiply
    383,904x = 897,160.50 × 897,160.50
  4. Step 4: Simplify right side
    383,904x = 804,896,962,760.25
  5. Step 5: Solve for x
    x = 804,896,962,760.25/383,904
  6. Step 6: Final answer
    x = 2,096,609.99

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.