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Finding the Third Proportional to 383,887.50 and 897,114

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Solution

The third proportional to 383,887.50 and 897,114 is: 2,096,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,887.50 : 897,114 = 897,114 : x
  2. Step 2: Convert to fraction form
    383,887.50/897,114 = 897,114/x
  3. Step 3: Cross multiply
    383,887.50x = 897,114 × 897,114
  4. Step 4: Simplify right side
    383,887.50x = 804,813,528,996
  5. Step 5: Solve for x
    x = 804,813,528,996/383,887.50
  6. Step 6: Final answer
    x = 2,096,482.77

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Why These Related Problems?

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