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Finding the Third Proportional to 229,051.94 and 493,221.89

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Solution

The third proportional to 229,051.94 and 493,221.89 is: 1,062,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,051.94 : 493,221.89 = 493,221.89 : x
  2. Step 2: Convert to fraction form
    229,051.94/493,221.89 = 493,221.89/x
  3. Step 3: Cross multiply
    229,051.94x = 493,221.89 × 493,221.89
  4. Step 4: Simplify right side
    229,051.94x = 243,267,836,281.69
  5. Step 5: Solve for x
    x = 243,267,836,281.69/229,051.94
  6. Step 6: Final answer
    x = 1,062,064.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.