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Finding the Third Proportional to 295,944 and 647,244

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Solution

The third proportional to 295,944 and 647,244 is: 1,415,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,944 : 647,244 = 647,244 : x
  2. Step 2: Convert to fraction form
    295,944/647,244 = 647,244/x
  3. Step 3: Cross multiply
    295,944x = 647,244 × 647,244
  4. Step 4: Simplify right side
    295,944x = 418,924,795,536
  5. Step 5: Solve for x
    x = 418,924,795,536/295,944
  6. Step 6: Final answer
    x = 1,415,554.28

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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.