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Finding the Third Proportional to 319,964 and 481,968

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Solution

The third proportional to 319,964 and 481,968 is: 725,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,964 : 481,968 = 481,968 : x
  2. Step 2: Convert to fraction form
    319,964/481,968 = 481,968/x
  3. Step 3: Cross multiply
    319,964x = 481,968 × 481,968
  4. Step 4: Simplify right side
    319,964x = 232,293,153,024
  5. Step 5: Solve for x
    x = 232,293,153,024/319,964
  6. Step 6: Final answer
    x = 725,997.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.