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Finding the Third Proportional to 295,824 and 647,959.25

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Solution

The third proportional to 295,824 and 647,959.25 is: 1,419,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,824 : 647,959.25 = 647,959.25 : x
  2. Step 2: Convert to fraction form
    295,824/647,959.25 = 647,959.25/x
  3. Step 3: Cross multiply
    295,824x = 647,959.25 × 647,959.25
  4. Step 4: Simplify right side
    295,824x = 419,851,189,660.56
  5. Step 5: Solve for x
    x = 419,851,189,660.56/295,824
  6. Step 6: Final answer
    x = 1,419,260.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.