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Finding the Third Proportional to 319,335 and 444,009

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Solution

The third proportional to 319,335 and 444,009 is: 617,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,335 : 444,009 = 444,009 : x
  2. Step 2: Convert to fraction form
    319,335/444,009 = 444,009/x
  3. Step 3: Cross multiply
    319,335x = 444,009 × 444,009
  4. Step 4: Simplify right side
    319,335x = 197,143,992,081
  5. Step 5: Solve for x
    x = 197,143,992,081/319,335
  6. Step 6: Final answer
    x = 617,357.92

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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.