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Finding the Third Proportional to 410,710.50 and 954,200.25

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Solution

The third proportional to 410,710.50 and 954,200.25 is: 2,216,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,710.50 : 954,200.25 = 954,200.25 : x
  2. Step 2: Convert to fraction form
    410,710.50/954,200.25 = 954,200.25/x
  3. Step 3: Cross multiply
    410,710.50x = 954,200.25 × 954,200.25
  4. Step 4: Simplify right side
    410,710.50x = 910,498,117,100.06
  5. Step 5: Solve for x
    x = 910,498,117,100.06/410,710.50
  6. Step 6: Final answer
    x = 2,216,885.41

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.