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Finding the Third Proportional to 290,411 and 622,843

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Solution

The third proportional to 290,411 and 622,843 is: 1,335,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,411 : 622,843 = 622,843 : x
  2. Step 2: Convert to fraction form
    290,411/622,843 = 622,843/x
  3. Step 3: Cross multiply
    290,411x = 622,843 × 622,843
  4. Step 4: Simplify right side
    290,411x = 387,933,402,649
  5. Step 5: Solve for x
    x = 387,933,402,649/290,411
  6. Step 6: Final answer
    x = 1,335,808.23

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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.