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Finding the Third Proportional to 588,664 and 905,961

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Solution

The third proportional to 588,664 and 905,961 is: 1,394,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,664 : 905,961 = 905,961 : x
  2. Step 2: Convert to fraction form
    588,664/905,961 = 905,961/x
  3. Step 3: Cross multiply
    588,664x = 905,961 × 905,961
  4. Step 4: Simplify right side
    588,664x = 820,765,333,521
  5. Step 5: Solve for x
    x = 820,765,333,521/588,664
  6. Step 6: Final answer
    x = 1,394,284.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.