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Finding the Third Proportional to 605,592 and 880,197

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Solution

The third proportional to 605,592 and 880,197 is: 1,279,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,592 : 880,197 = 880,197 : x
  2. Step 2: Convert to fraction form
    605,592/880,197 = 880,197/x
  3. Step 3: Cross multiply
    605,592x = 880,197 × 880,197
  4. Step 4: Simplify right side
    605,592x = 774,746,758,809
  5. Step 5: Solve for x
    x = 774,746,758,809/605,592
  6. Step 6: Final answer
    x = 1,279,321.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.