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Finding the Third Proportional to 366,405 and 795,477

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Solution

The third proportional to 366,405 and 795,477 is: 1,727,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,405 : 795,477 = 795,477 : x
  2. Step 2: Convert to fraction form
    366,405/795,477 = 795,477/x
  3. Step 3: Cross multiply
    366,405x = 795,477 × 795,477
  4. Step 4: Simplify right side
    366,405x = 632,783,657,529
  5. Step 5: Solve for x
    x = 632,783,657,529/366,405
  6. Step 6: Final answer
    x = 1,727,006.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.