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Finding the Third Proportional to 290,308 and 642,824

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Solution

The third proportional to 290,308 and 642,824 is: 1,423,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,308 : 642,824 = 642,824 : x
  2. Step 2: Convert to fraction form
    290,308/642,824 = 642,824/x
  3. Step 3: Cross multiply
    290,308x = 642,824 × 642,824
  4. Step 4: Simplify right side
    290,308x = 413,222,694,976
  5. Step 5: Solve for x
    x = 413,222,694,976/290,308
  6. Step 6: Final answer
    x = 1,423,394.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.