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Finding the Third Proportional to 467,780 and 753,346

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Solution

The third proportional to 467,780 and 753,346 is: 1,213,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,780 : 753,346 = 753,346 : x
  2. Step 2: Convert to fraction form
    467,780/753,346 = 753,346/x
  3. Step 3: Cross multiply
    467,780x = 753,346 × 753,346
  4. Step 4: Simplify right side
    467,780x = 567,530,195,716
  5. Step 5: Solve for x
    x = 567,530,195,716/467,780
  6. Step 6: Final answer
    x = 1,213,241.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.