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Finding the Third Proportional to 588,642 and 911,259

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Solution

The third proportional to 588,642 and 911,259 is: 1,410,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,642 : 911,259 = 911,259 : x
  2. Step 2: Convert to fraction form
    588,642/911,259 = 911,259/x
  3. Step 3: Cross multiply
    588,642x = 911,259 × 911,259
  4. Step 4: Simplify right side
    588,642x = 830,392,965,081
  5. Step 5: Solve for x
    x = 830,392,965,081/588,642
  6. Step 6: Final answer
    x = 1,410,692.69

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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.