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Finding the Third Proportional to 422,927 and 655,865

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Solution

The third proportional to 422,927 and 655,865 is: 1,017,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,927 : 655,865 = 655,865 : x
  2. Step 2: Convert to fraction form
    422,927/655,865 = 655,865/x
  3. Step 3: Cross multiply
    422,927x = 655,865 × 655,865
  4. Step 4: Simplify right side
    422,927x = 430,158,898,225
  5. Step 5: Solve for x
    x = 430,158,898,225/422,927
  6. Step 6: Final answer
    x = 1,017,099.64

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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.