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Finding the Third Proportional to 598,301 and 897,890

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Solution

The third proportional to 598,301 and 897,890 is: 1,347,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,301 : 897,890 = 897,890 : x
  2. Step 2: Convert to fraction form
    598,301/897,890 = 897,890/x
  3. Step 3: Cross multiply
    598,301x = 897,890 × 897,890
  4. Step 4: Simplify right side
    598,301x = 806,206,452,100
  5. Step 5: Solve for x
    x = 806,206,452,100/598,301
  6. Step 6: Final answer
    x = 1,347,493.07

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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.