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Finding the Third Proportional to 290,400.19 and 622,824.19

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Solution

The third proportional to 290,400.19 and 622,824.19 is: 1,335,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,400.19 : 622,824.19 = 622,824.19 : x
  2. Step 2: Convert to fraction form
    290,400.19/622,824.19 = 622,824.19/x
  3. Step 3: Cross multiply
    290,400.19x = 622,824.19 × 622,824.19
  4. Step 4: Simplify right side
    290,400.19x = 387,909,968,535.04
  5. Step 5: Solve for x
    x = 387,909,968,535.04/290,400.19
  6. Step 6: Final answer
    x = 1,335,777.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.