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Finding the Third Proportional to 316,744 and 464,728

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Solution

The third proportional to 316,744 and 464,728 is: 681,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,744 : 464,728 = 464,728 : x
  2. Step 2: Convert to fraction form
    316,744/464,728 = 464,728/x
  3. Step 3: Cross multiply
    316,744x = 464,728 × 464,728
  4. Step 4: Simplify right side
    316,744x = 215,972,113,984
  5. Step 5: Solve for x
    x = 215,972,113,984/316,744
  6. Step 6: Final answer
    x = 681,850.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.