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Finding the Third Proportional to 403,072.88 and 609,147

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Solution

The third proportional to 403,072.88 and 609,147 is: 920,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,072.88 : 609,147 = 609,147 : x
  2. Step 2: Convert to fraction form
    403,072.88/609,147 = 609,147/x
  3. Step 3: Cross multiply
    403,072.88x = 609,147 × 609,147
  4. Step 4: Simplify right side
    403,072.88x = 371,060,067,609
  5. Step 5: Solve for x
    x = 371,060,067,609/403,072.88
  6. Step 6: Final answer
    x = 920,578.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.