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Finding the Third Proportional to 397,904 and 562,484

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Solution

The third proportional to 397,904 and 562,484 is: 795,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,904 : 562,484 = 562,484 : x
  2. Step 2: Convert to fraction form
    397,904/562,484 = 562,484/x
  3. Step 3: Cross multiply
    397,904x = 562,484 × 562,484
  4. Step 4: Simplify right side
    397,904x = 316,388,250,256
  5. Step 5: Solve for x
    x = 316,388,250,256/397,904
  6. Step 6: Final answer
    x = 795,137.14

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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.