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Finding the Third Proportional to 422,907 and 655,853

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Solution

The third proportional to 422,907 and 655,853 is: 1,017,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,907 : 655,853 = 655,853 : x
  2. Step 2: Convert to fraction form
    422,907/655,853 = 655,853/x
  3. Step 3: Cross multiply
    422,907x = 655,853 × 655,853
  4. Step 4: Simplify right side
    422,907x = 430,143,157,609
  5. Step 5: Solve for x
    x = 430,143,157,609/422,907
  6. Step 6: Final answer
    x = 1,017,110.52

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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.