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Finding the Third Proportional to 319,345.50 and 444,020.25

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Solution

The third proportional to 319,345.50 and 444,020.25 is: 617,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,345.50 : 444,020.25 = 444,020.25 : x
  2. Step 2: Convert to fraction form
    319,345.50/444,020.25 = 444,020.25/x
  3. Step 3: Cross multiply
    319,345.50x = 444,020.25 × 444,020.25
  4. Step 4: Simplify right side
    319,345.50x = 197,153,982,410.06
  5. Step 5: Solve for x
    x = 197,153,982,410.06/319,345.50
  6. Step 6: Final answer
    x = 617,368.91

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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.