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Finding the Third Proportional to 290,624 and 622,720

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Solution

The third proportional to 290,624 and 622,720 is: 1,334,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,624 : 622,720 = 622,720 : x
  2. Step 2: Convert to fraction form
    290,624/622,720 = 622,720/x
  3. Step 3: Cross multiply
    290,624x = 622,720 × 622,720
  4. Step 4: Simplify right side
    290,624x = 387,780,198,400
  5. Step 5: Solve for x
    x = 387,780,198,400/290,624
  6. Step 6: Final answer
    x = 1,334,302.05

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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.