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Finding the Third Proportional to 335,186 and 468,860

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Solution

The third proportional to 335,186 and 468,860 is: 655,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,186 : 468,860 = 468,860 : x
  2. Step 2: Convert to fraction form
    335,186/468,860 = 468,860/x
  3. Step 3: Cross multiply
    335,186x = 468,860 × 468,860
  4. Step 4: Simplify right side
    335,186x = 219,829,699,600
  5. Step 5: Solve for x
    x = 219,829,699,600/335,186
  6. Step 6: Final answer
    x = 655,843.92

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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.