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Finding the Third Proportional to 482,912 and 655,860

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Solution

The third proportional to 482,912 and 655,860 is: 890,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,912 : 655,860 = 655,860 : x
  2. Step 2: Convert to fraction form
    482,912/655,860 = 655,860/x
  3. Step 3: Cross multiply
    482,912x = 655,860 × 655,860
  4. Step 4: Simplify right side
    482,912x = 430,152,339,600
  5. Step 5: Solve for x
    x = 430,152,339,600/482,912
  6. Step 6: Final answer
    x = 890,746.84

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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.