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Finding the Third Proportional to 598,295 and 897,855

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Solution

The third proportional to 598,295 and 897,855 is: 1,347,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,295 : 897,855 = 897,855 : x
  2. Step 2: Convert to fraction form
    598,295/897,855 = 897,855/x
  3. Step 3: Cross multiply
    598,295x = 897,855 × 897,855
  4. Step 4: Simplify right side
    598,295x = 806,143,601,025
  5. Step 5: Solve for x
    x = 806,143,601,025/598,295
  6. Step 6: Final answer
    x = 1,347,401.53

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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.