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Finding the Third Proportional to 617,974.31 and 954,959.63

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Solution

The third proportional to 617,974.31 and 954,959.63 is: 1,475,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,974.31 : 954,959.63 = 954,959.63 : x
  2. Step 2: Convert to fraction form
    617,974.31/954,959.63 = 954,959.63/x
  3. Step 3: Cross multiply
    617,974.31x = 954,959.63 × 954,959.63
  4. Step 4: Simplify right side
    617,974.31x = 911,947,885,380.14
  5. Step 5: Solve for x
    x = 911,947,885,380.14/617,974.31
  6. Step 6: Final answer
    x = 1,475,705.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.