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Finding the Third Proportional to 598,118 and 888,536

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Solution

The third proportional to 598,118 and 888,536 is: 1,319,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,118 : 888,536 = 888,536 : x
  2. Step 2: Convert to fraction form
    598,118/888,536 = 888,536/x
  3. Step 3: Cross multiply
    598,118x = 888,536 × 888,536
  4. Step 4: Simplify right side
    598,118x = 789,496,223,296
  5. Step 5: Solve for x
    x = 789,496,223,296/598,118
  6. Step 6: Final answer
    x = 1,319,967.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.