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Finding the Third Proportional to 630,280 and 945,876

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Solution

The third proportional to 630,280 and 945,876 is: 1,419,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,280 : 945,876 = 945,876 : x
  2. Step 2: Convert to fraction form
    630,280/945,876 = 945,876/x
  3. Step 3: Cross multiply
    630,280x = 945,876 × 945,876
  4. Step 4: Simplify right side
    630,280x = 894,681,407,376
  5. Step 5: Solve for x
    x = 894,681,407,376/630,280
  6. Step 6: Final answer
    x = 1,419,498.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.