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Finding the Third Proportional to 220,264.31 and 480,972.94

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Solution

The third proportional to 220,264.31 and 480,972.94 is: 1,050,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,264.31 : 480,972.94 = 480,972.94 : x
  2. Step 2: Convert to fraction form
    220,264.31/480,972.94 = 480,972.94/x
  3. Step 3: Cross multiply
    220,264.31x = 480,972.94 × 480,972.94
  4. Step 4: Simplify right side
    220,264.31x = 231,334,966,607.38
  5. Step 5: Solve for x
    x = 231,334,966,607.38/220,264.31
  6. Step 6: Final answer
    x = 1,050,260.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.