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Finding the Third Proportional to 361,048 and 561,308

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Solution

The third proportional to 361,048 and 561,308 is: 872,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,048 : 561,308 = 561,308 : x
  2. Step 2: Convert to fraction form
    361,048/561,308 = 561,308/x
  3. Step 3: Cross multiply
    361,048x = 561,308 × 561,308
  4. Step 4: Simplify right side
    361,048x = 315,066,670,864
  5. Step 5: Solve for x
    x = 315,066,670,864/361,048
  6. Step 6: Final answer
    x = 872,644.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.