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Finding the Third Proportional to 319,484.25 and 444,234.38

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Solution

The third proportional to 319,484.25 and 444,234.38 is: 617,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,484.25 : 444,234.38 = 444,234.38 : x
  2. Step 2: Convert to fraction form
    319,484.25/444,234.38 = 444,234.38/x
  3. Step 3: Cross multiply
    319,484.25x = 444,234.38 × 444,234.38
  4. Step 4: Simplify right side
    319,484.25x = 197,344,179,931.64
  5. Step 5: Solve for x
    x = 197,344,179,931.64/319,484.25
  6. Step 6: Final answer
    x = 617,696.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.