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Finding the Third Proportional to 598,293 and 897,852

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Solution

The third proportional to 598,293 and 897,852 is: 1,347,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,293 : 897,852 = 897,852 : x
  2. Step 2: Convert to fraction form
    598,293/897,852 = 897,852/x
  3. Step 3: Cross multiply
    598,293x = 897,852 × 897,852
  4. Step 4: Simplify right side
    598,293x = 806,138,213,904
  5. Step 5: Solve for x
    x = 806,138,213,904/598,293
  6. Step 6: Final answer
    x = 1,347,397.03

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