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Finding the Third Proportional to 319,770 and 461,973

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Solution

The third proportional to 319,770 and 461,973 is: 667,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,770 : 461,973 = 461,973 : x
  2. Step 2: Convert to fraction form
    319,770/461,973 = 461,973/x
  3. Step 3: Cross multiply
    319,770x = 461,973 × 461,973
  4. Step 4: Simplify right side
    319,770x = 213,419,052,729
  5. Step 5: Solve for x
    x = 213,419,052,729/319,770
  6. Step 6: Final answer
    x = 667,414.24

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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.