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Finding the Third Proportional to 588,864 and 933,982

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Solution

The third proportional to 588,864 and 933,982 is: 1,481,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,864 : 933,982 = 933,982 : x
  2. Step 2: Convert to fraction form
    588,864/933,982 = 933,982/x
  3. Step 3: Cross multiply
    588,864x = 933,982 × 933,982
  4. Step 4: Simplify right side
    588,864x = 872,322,376,324
  5. Step 5: Solve for x
    x = 872,322,376,324/588,864
  6. Step 6: Final answer
    x = 1,481,364.76

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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.