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Finding the Third Proportional to 400,122 and 613,504.50

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Solution

The third proportional to 400,122 and 613,504.50 is: 940,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,122 : 613,504.50 = 613,504.50 : x
  2. Step 2: Convert to fraction form
    400,122/613,504.50 = 613,504.50/x
  3. Step 3: Cross multiply
    400,122x = 613,504.50 × 613,504.50
  4. Step 4: Simplify right side
    400,122x = 376,387,771,520.25
  5. Step 5: Solve for x
    x = 376,387,771,520.25/400,122
  6. Step 6: Final answer
    x = 940,682.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.