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Finding the Third Proportional to 413,304.75 and 638,372.25

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Solution

The third proportional to 413,304.75 and 638,372.25 is: 986,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,304.75 : 638,372.25 = 638,372.25 : x
  2. Step 2: Convert to fraction form
    413,304.75/638,372.25 = 638,372.25/x
  3. Step 3: Cross multiply
    413,304.75x = 638,372.25 × 638,372.25
  4. Step 4: Simplify right side
    413,304.75x = 407,519,129,570.06
  5. Step 5: Solve for x
    x = 407,519,129,570.06/413,304.75
  6. Step 6: Final answer
    x = 986,001.56

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