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Finding the Third Proportional to 221,828.63 and 484,197.75

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Solution

The third proportional to 221,828.63 and 484,197.75 is: 1,056,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,828.63 : 484,197.75 = 484,197.75 : x
  2. Step 2: Convert to fraction form
    221,828.63/484,197.75 = 484,197.75/x
  3. Step 3: Cross multiply
    221,828.63x = 484,197.75 × 484,197.75
  4. Step 4: Simplify right side
    221,828.63x = 234,447,461,105.06
  5. Step 5: Solve for x
    x = 234,447,461,105.06/221,828.63
  6. Step 6: Final answer
    x = 1,056,885.52

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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.