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Finding the Third Proportional to 219,866.06 and 481,811.63

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Solution

The third proportional to 219,866.06 and 481,811.63 is: 1,055,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,866.06 : 481,811.63 = 481,811.63 : x
  2. Step 2: Convert to fraction form
    219,866.06/481,811.63 = 481,811.63/x
  3. Step 3: Cross multiply
    219,866.06x = 481,811.63 × 481,811.63
  4. Step 4: Simplify right side
    219,866.06x = 232,142,441,985.14
  5. Step 5: Solve for x
    x = 232,142,441,985.14/219,866.06
  6. Step 6: Final answer
    x = 1,055,835.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.