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Finding the Third Proportional to 282,846.84 and 613,908.66

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Solution

The third proportional to 282,846.84 and 613,908.66 is: 1,332,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,846.84 : 613,908.66 = 613,908.66 : x
  2. Step 2: Convert to fraction form
    282,846.84/613,908.66 = 613,908.66/x
  3. Step 3: Cross multiply
    282,846.84x = 613,908.66 × 613,908.66
  4. Step 4: Simplify right side
    282,846.84x = 376,883,838,218.68
  5. Step 5: Solve for x
    x = 376,883,838,218.68/282,846.84
  6. Step 6: Final answer
    x = 1,332,466.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.