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Finding the Third Proportional to 429,016.25 and 940,455

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Solution

The third proportional to 429,016.25 and 940,455 is: 2,061,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,016.25 : 940,455 = 940,455 : x
  2. Step 2: Convert to fraction form
    429,016.25/940,455 = 940,455/x
  3. Step 3: Cross multiply
    429,016.25x = 940,455 × 940,455
  4. Step 4: Simplify right side
    429,016.25x = 884,455,607,025
  5. Step 5: Solve for x
    x = 884,455,607,025/429,016.25
  6. Step 6: Final answer
    x = 2,061,589.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.