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Finding the Third Proportional to 510,184 and 796,293

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Solution

The third proportional to 510,184 and 796,293 is: 1,242,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,184 : 796,293 = 796,293 : x
  2. Step 2: Convert to fraction form
    510,184/796,293 = 796,293/x
  3. Step 3: Cross multiply
    510,184x = 796,293 × 796,293
  4. Step 4: Simplify right side
    510,184x = 634,082,541,849
  5. Step 5: Solve for x
    x = 634,082,541,849/510,184
  6. Step 6: Final answer
    x = 1,242,850.70

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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.