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Finding the Third Proportional to 541,466 and 796,503

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Solution

The third proportional to 541,466 and 796,503 is: 1,171,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,466 : 796,503 = 796,503 : x
  2. Step 2: Convert to fraction form
    541,466/796,503 = 796,503/x
  3. Step 3: Cross multiply
    541,466x = 796,503 × 796,503
  4. Step 4: Simplify right side
    541,466x = 634,417,029,009
  5. Step 5: Solve for x
    x = 634,417,029,009/541,466
  6. Step 6: Final answer
    x = 1,171,665.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.