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Finding the Third Proportional to 510,181 and 796,288

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Solution

The third proportional to 510,181 and 796,288 is: 1,242,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,181 : 796,288 = 796,288 : x
  2. Step 2: Convert to fraction form
    510,181/796,288 = 796,288/x
  3. Step 3: Cross multiply
    510,181x = 796,288 × 796,288
  4. Step 4: Simplify right side
    510,181x = 634,074,578,944
  5. Step 5: Solve for x
    x = 634,074,578,944/510,181
  6. Step 6: Final answer
    x = 1,242,842.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.