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Finding the Third Proportional to 397,906 and 562,487

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Solution

The third proportional to 397,906 and 562,487 is: 795,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,906 : 562,487 = 562,487 : x
  2. Step 2: Convert to fraction form
    397,906/562,487 = 562,487/x
  3. Step 3: Cross multiply
    397,906x = 562,487 × 562,487
  4. Step 4: Simplify right side
    397,906x = 316,391,625,169
  5. Step 5: Solve for x
    x = 316,391,625,169/397,906
  6. Step 6: Final answer
    x = 795,141.63

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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.