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Finding the Third Proportional to 513,152 and 796,497

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Solution

The third proportional to 513,152 and 796,497 is: 1,236,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,152 : 796,497 = 796,497 : x
  2. Step 2: Convert to fraction form
    513,152/796,497 = 796,497/x
  3. Step 3: Cross multiply
    513,152x = 796,497 × 796,497
  4. Step 4: Simplify right side
    513,152x = 634,407,471,009
  5. Step 5: Solve for x
    x = 634,407,471,009/513,152
  6. Step 6: Final answer
    x = 1,236,295.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.