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Finding the Third Proportional to 588,638 and 911,253

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Solution

The third proportional to 588,638 and 911,253 is: 1,410,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,638 : 911,253 = 911,253 : x
  2. Step 2: Convert to fraction form
    588,638/911,253 = 911,253/x
  3. Step 3: Cross multiply
    588,638x = 911,253 × 911,253
  4. Step 4: Simplify right side
    588,638x = 830,382,030,009
  5. Step 5: Solve for x
    x = 830,382,030,009/588,638
  6. Step 6: Final answer
    x = 1,410,683.70

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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.