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Finding the Third Proportional to 361,655 and 792,205

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Solution

The third proportional to 361,655 and 792,205 is: 1,735,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,655 : 792,205 = 792,205 : x
  2. Step 2: Convert to fraction form
    361,655/792,205 = 792,205/x
  3. Step 3: Cross multiply
    361,655x = 792,205 × 792,205
  4. Step 4: Simplify right side
    361,655x = 627,588,762,025
  5. Step 5: Solve for x
    x = 627,588,762,025/361,655
  6. Step 6: Final answer
    x = 1,735,324.44

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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.