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Finding the Third Proportional to 412,849 and 683,275

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Solution

The third proportional to 412,849 and 683,275 is: 1,130,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,849 : 683,275 = 683,275 : x
  2. Step 2: Convert to fraction form
    412,849/683,275 = 683,275/x
  3. Step 3: Cross multiply
    412,849x = 683,275 × 683,275
  4. Step 4: Simplify right side
    412,849x = 466,864,725,625
  5. Step 5: Solve for x
    x = 466,864,725,625/412,849
  6. Step 6: Final answer
    x = 1,130,836.52

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.