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Finding the Third Proportional to 335,184 and 468,856

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Solution

The third proportional to 335,184 and 468,856 is: 655,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,184 : 468,856 = 468,856 : x
  2. Step 2: Convert to fraction form
    335,184/468,856 = 468,856/x
  3. Step 3: Cross multiply
    335,184x = 468,856 × 468,856
  4. Step 4: Simplify right side
    335,184x = 219,825,948,736
  5. Step 5: Solve for x
    x = 219,825,948,736/335,184
  6. Step 6: Final answer
    x = 655,836.64

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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.