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Finding the Third Proportional to 482,909 and 655,851

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Solution

The third proportional to 482,909 and 655,851 is: 890,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,909 : 655,851 = 655,851 : x
  2. Step 2: Convert to fraction form
    482,909/655,851 = 655,851/x
  3. Step 3: Cross multiply
    482,909x = 655,851 × 655,851
  4. Step 4: Simplify right side
    482,909x = 430,140,534,201
  5. Step 5: Solve for x
    x = 430,140,534,201/482,909
  6. Step 6: Final answer
    x = 890,727.93

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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.