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Finding the Third Proportional to 295,794 and 647,562

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Solution

The third proportional to 295,794 and 647,562 is: 1,417,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,794 : 647,562 = 647,562 : x
  2. Step 2: Convert to fraction form
    295,794/647,562 = 647,562/x
  3. Step 3: Cross multiply
    295,794x = 647,562 × 647,562
  4. Step 4: Simplify right side
    295,794x = 419,336,543,844
  5. Step 5: Solve for x
    x = 419,336,543,844/295,794
  6. Step 6: Final answer
    x = 1,417,664.13

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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.