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Finding the Third Proportional to 588,648 and 911,268

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Solution

The third proportional to 588,648 and 911,268 is: 1,410,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,648 : 911,268 = 911,268 : x
  2. Step 2: Convert to fraction form
    588,648/911,268 = 911,268/x
  3. Step 3: Cross multiply
    588,648x = 911,268 × 911,268
  4. Step 4: Simplify right side
    588,648x = 830,409,367,824
  5. Step 5: Solve for x
    x = 830,409,367,824/588,648
  6. Step 6: Final answer
    x = 1,410,706.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.