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Finding the Third Proportional to 454,108 and 617,010

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Solution

The third proportional to 454,108 and 617,010 is: 838,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,108 : 617,010 = 617,010 : x
  2. Step 2: Convert to fraction form
    454,108/617,010 = 617,010/x
  3. Step 3: Cross multiply
    454,108x = 617,010 × 617,010
  4. Step 4: Simplify right side
    454,108x = 380,701,340,100
  5. Step 5: Solve for x
    x = 380,701,340,100/454,108
  6. Step 6: Final answer
    x = 838,349.78

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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.