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Finding the Third Proportional to 374,912 and 808,876

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Solution

The third proportional to 374,912 and 808,876 is: 1,745,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,912 : 808,876 = 808,876 : x
  2. Step 2: Convert to fraction form
    374,912/808,876 = 808,876/x
  3. Step 3: Cross multiply
    374,912x = 808,876 × 808,876
  4. Step 4: Simplify right side
    374,912x = 654,280,383,376
  5. Step 5: Solve for x
    x = 654,280,383,376/374,912
  6. Step 6: Final answer
    x = 1,745,157.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.