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Finding the Third Proportional to 407,515 and 629,741

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Solution

The third proportional to 407,515 and 629,741 is: 973,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,515 : 629,741 = 629,741 : x
  2. Step 2: Convert to fraction form
    407,515/629,741 = 629,741/x
  3. Step 3: Cross multiply
    407,515x = 629,741 × 629,741
  4. Step 4: Simplify right side
    407,515x = 396,573,727,081
  5. Step 5: Solve for x
    x = 396,573,727,081/407,515
  6. Step 6: Final answer
    x = 973,151.24

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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.