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Finding the Third Proportional to 598,923 and 880,857

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Solution

The third proportional to 598,923 and 880,857 is: 1,295,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,923 : 880,857 = 880,857 : x
  2. Step 2: Convert to fraction form
    598,923/880,857 = 880,857/x
  3. Step 3: Cross multiply
    598,923x = 880,857 × 880,857
  4. Step 4: Simplify right side
    598,923x = 775,909,054,449
  5. Step 5: Solve for x
    x = 775,909,054,449/598,923
  6. Step 6: Final answer
    x = 1,295,507.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.