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Finding the Third Proportional to 361,550 and 751,774

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Solution

The third proportional to 361,550 and 751,774 is: 1,563,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,550 : 751,774 = 751,774 : x
  2. Step 2: Convert to fraction form
    361,550/751,774 = 751,774/x
  3. Step 3: Cross multiply
    361,550x = 751,774 × 751,774
  4. Step 4: Simplify right side
    361,550x = 565,164,147,076
  5. Step 5: Solve for x
    x = 565,164,147,076/361,550
  6. Step 6: Final answer
    x = 1,563,170.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.