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Finding the Third Proportional to 533,890 and 719,115

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Solution

The third proportional to 533,890 and 719,115 is: 968,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,890 : 719,115 = 719,115 : x
  2. Step 2: Convert to fraction form
    533,890/719,115 = 719,115/x
  3. Step 3: Cross multiply
    533,890x = 719,115 × 719,115
  4. Step 4: Simplify right side
    533,890x = 517,126,383,225
  5. Step 5: Solve for x
    x = 517,126,383,225/533,890
  6. Step 6: Final answer
    x = 968,600.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.