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Finding the Third Proportional to 404,614 and 604,150

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Solution

The third proportional to 404,614 and 604,150 is: 902,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,614 : 604,150 = 604,150 : x
  2. Step 2: Convert to fraction form
    404,614/604,150 = 604,150/x
  3. Step 3: Cross multiply
    404,614x = 604,150 × 604,150
  4. Step 4: Simplify right side
    404,614x = 364,997,222,500
  5. Step 5: Solve for x
    x = 364,997,222,500/404,614
  6. Step 6: Final answer
    x = 902,087.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.