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Finding the Third Proportional to 335,190 and 468,865

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Solution

The third proportional to 335,190 and 468,865 is: 655,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,190 : 468,865 = 468,865 : x
  2. Step 2: Convert to fraction form
    335,190/468,865 = 468,865/x
  3. Step 3: Cross multiply
    335,190x = 468,865 × 468,865
  4. Step 4: Simplify right side
    335,190x = 219,834,388,225
  5. Step 5: Solve for x
    x = 219,834,388,225/335,190
  6. Step 6: Final answer
    x = 655,850.08

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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.