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Finding the Third Proportional to 224,764.88 and 493,826.63

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Solution

The third proportional to 224,764.88 and 493,826.63 is: 1,084,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,764.88 : 493,826.63 = 493,826.63 : x
  2. Step 2: Convert to fraction form
    224,764.88/493,826.63 = 493,826.63/x
  3. Step 3: Cross multiply
    224,764.88x = 493,826.63 × 493,826.63
  4. Step 4: Simplify right side
    224,764.88x = 243,864,735,558.89
  5. Step 5: Solve for x
    x = 243,864,735,558.89/224,764.88
  6. Step 6: Final answer
    x = 1,084,977.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.