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Finding the Third Proportional to 482,908 and 655,853

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Solution

The third proportional to 482,908 and 655,853 is: 890,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,908 : 655,853 = 655,853 : x
  2. Step 2: Convert to fraction form
    482,908/655,853 = 655,853/x
  3. Step 3: Cross multiply
    482,908x = 655,853 × 655,853
  4. Step 4: Simplify right side
    482,908x = 430,143,157,609
  5. Step 5: Solve for x
    x = 430,143,157,609/482,908
  6. Step 6: Final answer
    x = 890,735.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.