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Finding the Third Proportional to 412,828.88 and 683,245.13

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Solution

The third proportional to 412,828.88 and 683,245.13 is: 1,130,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,828.88 : 683,245.13 = 683,245.13 : x
  2. Step 2: Convert to fraction form
    412,828.88/683,245.13 = 683,245.13/x
  3. Step 3: Cross multiply
    412,828.88x = 683,245.13 × 683,245.13
  4. Step 4: Simplify right side
    412,828.88x = 466,823,900,836.27
  5. Step 5: Solve for x
    x = 466,823,900,836.27/412,828.88
  6. Step 6: Final answer
    x = 1,130,792.75

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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.