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Finding the Third Proportional to 510,191 and 796,301

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Solution

The third proportional to 510,191 and 796,301 is: 1,242,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,191 : 796,301 = 796,301 : x
  2. Step 2: Convert to fraction form
    510,191/796,301 = 796,301/x
  3. Step 3: Cross multiply
    510,191x = 796,301 × 796,301
  4. Step 4: Simplify right side
    510,191x = 634,095,282,601
  5. Step 5: Solve for x
    x = 634,095,282,601/510,191
  6. Step 6: Final answer
    x = 1,242,858.62

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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.