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Finding the Third Proportional to 288,102.13 and 622,365.13

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Solution

The third proportional to 288,102.13 and 622,365.13 is: 1,344,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,102.13 : 622,365.13 = 622,365.13 : x
  2. Step 2: Convert to fraction form
    288,102.13/622,365.13 = 622,365.13/x
  3. Step 3: Cross multiply
    288,102.13x = 622,365.13 × 622,365.13
  4. Step 4: Simplify right side
    288,102.13x = 387,338,348,816.27
  5. Step 5: Solve for x
    x = 387,338,348,816.27/288,102.13
  6. Step 6: Final answer
    x = 1,344,448.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.