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Finding the Third Proportional to 598,640 and 897,083

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Solution

The third proportional to 598,640 and 897,083 is: 1,344,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,640 : 897,083 = 897,083 : x
  2. Step 2: Convert to fraction form
    598,640/897,083 = 897,083/x
  3. Step 3: Cross multiply
    598,640x = 897,083 × 897,083
  4. Step 4: Simplify right side
    598,640x = 804,757,908,889
  5. Step 5: Solve for x
    x = 804,757,908,889/598,640
  6. Step 6: Final answer
    x = 1,344,310.28

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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.