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Finding the Third Proportional to 412,815 and 581,334

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Solution

The third proportional to 412,815 and 581,334 is: 818,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,815 : 581,334 = 581,334 : x
  2. Step 2: Convert to fraction form
    412,815/581,334 = 581,334/x
  3. Step 3: Cross multiply
    412,815x = 581,334 × 581,334
  4. Step 4: Simplify right side
    412,815x = 337,949,219,556
  5. Step 5: Solve for x
    x = 337,949,219,556/412,815
  6. Step 6: Final answer
    x = 818,645.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.