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Finding the Third Proportional to 376,832 and 808,258

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Solution

The third proportional to 376,832 and 808,258 is: 1,733,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,832 : 808,258 = 808,258 : x
  2. Step 2: Convert to fraction form
    376,832/808,258 = 808,258/x
  3. Step 3: Cross multiply
    376,832x = 808,258 × 808,258
  4. Step 4: Simplify right side
    376,832x = 653,280,994,564
  5. Step 5: Solve for x
    x = 653,280,994,564/376,832
  6. Step 6: Final answer
    x = 1,733,613.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.