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Finding the Third Proportional to 403,670.25 and 951,564.25

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Solution

The third proportional to 403,670.25 and 951,564.25 is: 2,243,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,670.25 : 951,564.25 = 951,564.25 : x
  2. Step 2: Convert to fraction form
    403,670.25/951,564.25 = 951,564.25/x
  3. Step 3: Cross multiply
    403,670.25x = 951,564.25 × 951,564.25
  4. Step 4: Simplify right side
    403,670.25x = 905,474,521,878.06
  5. Step 5: Solve for x
    x = 905,474,521,878.06/403,670.25
  6. Step 6: Final answer
    x = 2,243,104.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.