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Finding the Third Proportional to 279,619.50 and 613,674

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Solution

The third proportional to 279,619.50 and 613,674 is: 1,346,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,619.50 : 613,674 = 613,674 : x
  2. Step 2: Convert to fraction form
    279,619.50/613,674 = 613,674/x
  3. Step 3: Cross multiply
    279,619.50x = 613,674 × 613,674
  4. Step 4: Simplify right side
    279,619.50x = 376,595,778,276
  5. Step 5: Solve for x
    x = 376,595,778,276/279,619.50
  6. Step 6: Final answer
    x = 1,346,815.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.