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Finding the Third Proportional to 381,570.75 and 604,067.63

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Solution

The third proportional to 381,570.75 and 604,067.63 is: 956,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,570.75 : 604,067.63 = 604,067.63 : x
  2. Step 2: Convert to fraction form
    381,570.75/604,067.63 = 604,067.63/x
  3. Step 3: Cross multiply
    381,570.75x = 604,067.63 × 604,067.63
  4. Step 4: Simplify right side
    381,570.75x = 364,897,695,573.14
  5. Step 5: Solve for x
    x = 364,897,695,573.14/381,570.75
  6. Step 6: Final answer
    x = 956,304.16

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.