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Finding the Third Proportional to 422,066 and 604,592

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Solution

The third proportional to 422,066 and 604,592 is: 866,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,066 : 604,592 = 604,592 : x
  2. Step 2: Convert to fraction form
    422,066/604,592 = 604,592/x
  3. Step 3: Cross multiply
    422,066x = 604,592 × 604,592
  4. Step 4: Simplify right side
    422,066x = 365,531,486,464
  5. Step 5: Solve for x
    x = 365,531,486,464/422,066
  6. Step 6: Final answer
    x = 866,052.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.