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Finding the Third Proportional to 598,296 and 897,856.50

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Solution

The third proportional to 598,296 and 897,856.50 is: 1,347,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,296 : 897,856.50 = 897,856.50 : x
  2. Step 2: Convert to fraction form
    598,296/897,856.50 = 897,856.50/x
  3. Step 3: Cross multiply
    598,296x = 897,856.50 × 897,856.50
  4. Step 4: Simplify right side
    598,296x = 806,146,294,592.25
  5. Step 5: Solve for x
    x = 806,146,294,592.25/598,296
  6. Step 6: Final answer
    x = 1,347,403.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.