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Finding the Third Proportional to 362,352 and 796,392

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Solution

The third proportional to 362,352 and 796,392 is: 1,750,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,352 : 796,392 = 796,392 : x
  2. Step 2: Convert to fraction form
    362,352/796,392 = 796,392/x
  3. Step 3: Cross multiply
    362,352x = 796,392 × 796,392
  4. Step 4: Simplify right side
    362,352x = 634,240,217,664
  5. Step 5: Solve for x
    x = 634,240,217,664/362,352
  6. Step 6: Final answer
    x = 1,750,342.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.