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Finding the Third Proportional to 442,258.31 and 959,603.63

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Solution

The third proportional to 442,258.31 and 959,603.63 is: 2,082,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,258.31 : 959,603.63 = 959,603.63 : x
  2. Step 2: Convert to fraction form
    442,258.31/959,603.63 = 959,603.63/x
  3. Step 3: Cross multiply
    442,258.31x = 959,603.63 × 959,603.63
  4. Step 4: Simplify right side
    442,258.31x = 920,839,117,113.14
  5. Step 5: Solve for x
    x = 920,839,117,113.14/442,258.31
  6. Step 6: Final answer
    x = 2,082,129.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.