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Finding the Third Proportional to 407,123 and 562,567

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Solution

The third proportional to 407,123 and 562,567 is: 777,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,123 : 562,567 = 562,567 : x
  2. Step 2: Convert to fraction form
    407,123/562,567 = 562,567/x
  3. Step 3: Cross multiply
    407,123x = 562,567 × 562,567
  4. Step 4: Simplify right side
    407,123x = 316,481,629,489
  5. Step 5: Solve for x
    x = 316,481,629,489/407,123
  6. Step 6: Final answer
    x = 777,361.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.