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Finding the Third Proportional to 361,653 and 792,201

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Solution

The third proportional to 361,653 and 792,201 is: 1,735,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,653 : 792,201 = 792,201 : x
  2. Step 2: Convert to fraction form
    361,653/792,201 = 792,201/x
  3. Step 3: Cross multiply
    361,653x = 792,201 × 792,201
  4. Step 4: Simplify right side
    361,653x = 627,582,424,401
  5. Step 5: Solve for x
    x = 627,582,424,401/361,653
  6. Step 6: Final answer
    x = 1,735,316.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.