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Finding the Third Proportional to 397,912 and 562,496

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Solution

The third proportional to 397,912 and 562,496 is: 795,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,912 : 562,496 = 562,496 : x
  2. Step 2: Convert to fraction form
    397,912/562,496 = 562,496/x
  3. Step 3: Cross multiply
    397,912x = 562,496 × 562,496
  4. Step 4: Simplify right side
    397,912x = 316,401,750,016
  5. Step 5: Solve for x
    x = 316,401,750,016/397,912
  6. Step 6: Final answer
    x = 795,155.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.