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Finding the Third Proportional to 319,190.41 and 474,263.71

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Solution

The third proportional to 319,190.41 and 474,263.71 is: 704,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,190.41 : 474,263.71 = 474,263.71 : x
  2. Step 2: Convert to fraction form
    319,190.41/474,263.71 = 474,263.71/x
  3. Step 3: Cross multiply
    319,190.41x = 474,263.71 × 474,263.71
  4. Step 4: Simplify right side
    319,190.41x = 224,926,067,628.00
  5. Step 5: Solve for x
    x = 224,926,067,628.00/319,190.41
  6. Step 6: Final answer
    x = 704,676.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.