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Finding the Third Proportional to 227,404.13 and 378,973.69

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Solution

The third proportional to 227,404.13 and 378,973.69 is: 631,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,404.13 : 378,973.69 = 378,973.69 : x
  2. Step 2: Convert to fraction form
    227,404.13/378,973.69 = 378,973.69/x
  3. Step 3: Cross multiply
    227,404.13x = 378,973.69 × 378,973.69
  4. Step 4: Simplify right side
    227,404.13x = 143,621,055,817.35
  5. Step 5: Solve for x
    x = 143,621,055,817.35/227,404.13
  6. Step 6: Final answer
    x = 631,567.50

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.