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Finding the Third Proportional to 283,901.81 and 436,377.56

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Solution

The third proportional to 283,901.81 and 436,377.56 is: 670,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,901.81 : 436,377.56 = 436,377.56 : x
  2. Step 2: Convert to fraction form
    283,901.81/436,377.56 = 436,377.56/x
  3. Step 3: Cross multiply
    283,901.81x = 436,377.56 × 436,377.56
  4. Step 4: Simplify right side
    283,901.81x = 190,425,377,053.44
  5. Step 5: Solve for x
    x = 190,425,377,053.44/283,901.81
  6. Step 6: Final answer
    x = 670,743.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.