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Finding the Third Proportional to 319,747.50 and 461,943

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Solution

The third proportional to 319,747.50 and 461,943 is: 667,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,747.50 : 461,943 = 461,943 : x
  2. Step 2: Convert to fraction form
    319,747.50/461,943 = 461,943/x
  3. Step 3: Cross multiply
    319,747.50x = 461,943 × 461,943
  4. Step 4: Simplify right side
    319,747.50x = 213,391,335,249
  5. Step 5: Solve for x
    x = 213,391,335,249/319,747.50
  6. Step 6: Final answer
    x = 667,374.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.