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Finding the Third Proportional to 368,766 and 796,581

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Solution

The third proportional to 368,766 and 796,581 is: 1,720,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,766 : 796,581 = 796,581 : x
  2. Step 2: Convert to fraction form
    368,766/796,581 = 796,581/x
  3. Step 3: Cross multiply
    368,766x = 796,581 × 796,581
  4. Step 4: Simplify right side
    368,766x = 634,541,289,561
  5. Step 5: Solve for x
    x = 634,541,289,561/368,766
  6. Step 6: Final answer
    x = 1,720,715.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.