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Finding the Third Proportional to 289,744 and 461,040

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Solution

The third proportional to 289,744 and 461,040 is: 733,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,744 : 461,040 = 461,040 : x
  2. Step 2: Convert to fraction form
    289,744/461,040 = 461,040/x
  3. Step 3: Cross multiply
    289,744x = 461,040 × 461,040
  4. Step 4: Simplify right side
    289,744x = 212,557,881,600
  5. Step 5: Solve for x
    x = 212,557,881,600/289,744
  6. Step 6: Final answer
    x = 733,605.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.