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Finding the Third Proportional to 403,824 and 622,586

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Solution

The third proportional to 403,824 and 622,586 is: 959,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,824 : 622,586 = 622,586 : x
  2. Step 2: Convert to fraction form
    403,824/622,586 = 622,586/x
  3. Step 3: Cross multiply
    403,824x = 622,586 × 622,586
  4. Step 4: Simplify right side
    403,824x = 387,613,327,396
  5. Step 5: Solve for x
    x = 387,613,327,396/403,824
  6. Step 6: Final answer
    x = 959,857.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.