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Finding the Third Proportional to 290,788 and 640,112

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Solution

The third proportional to 290,788 and 640,112 is: 1,409,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,788 : 640,112 = 640,112 : x
  2. Step 2: Convert to fraction form
    290,788/640,112 = 640,112/x
  3. Step 3: Cross multiply
    290,788x = 640,112 × 640,112
  4. Step 4: Simplify right side
    290,788x = 409,743,372,544
  5. Step 5: Solve for x
    x = 409,743,372,544/290,788
  6. Step 6: Final answer
    x = 1,409,079.37

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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.