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Finding the Third Proportional to 290,382 and 622,789.50

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Solution

The third proportional to 290,382 and 622,789.50 is: 1,335,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,382 : 622,789.50 = 622,789.50 : x
  2. Step 2: Convert to fraction form
    290,382/622,789.50 = 622,789.50/x
  3. Step 3: Cross multiply
    290,382x = 622,789.50 × 622,789.50
  4. Step 4: Simplify right side
    290,382x = 387,866,761,310.25
  5. Step 5: Solve for x
    x = 387,866,761,310.25/290,382
  6. Step 6: Final answer
    x = 1,335,712.14

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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.