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Finding the Third Proportional to 283,785.75 and 610,623

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Solution

The third proportional to 283,785.75 and 610,623 is: 1,313,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,785.75 : 610,623 = 610,623 : x
  2. Step 2: Convert to fraction form
    283,785.75/610,623 = 610,623/x
  3. Step 3: Cross multiply
    283,785.75x = 610,623 × 610,623
  4. Step 4: Simplify right side
    283,785.75x = 372,860,448,129
  5. Step 5: Solve for x
    x = 372,860,448,129/283,785.75
  6. Step 6: Final answer
    x = 1,313,880.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.