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Finding the Third Proportional to 335,184 and 468,857

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Solution

The third proportional to 335,184 and 468,857 is: 655,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,184 : 468,857 = 468,857 : x
  2. Step 2: Convert to fraction form
    335,184/468,857 = 468,857/x
  3. Step 3: Cross multiply
    335,184x = 468,857 × 468,857
  4. Step 4: Simplify right side
    335,184x = 219,826,886,449
  5. Step 5: Solve for x
    x = 219,826,886,449/335,184
  6. Step 6: Final answer
    x = 655,839.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.