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Finding the Third Proportional to 295,780 and 647,525

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Solution

The third proportional to 295,780 and 647,525 is: 1,417,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,780 : 647,525 = 647,525 : x
  2. Step 2: Convert to fraction form
    295,780/647,525 = 647,525/x
  3. Step 3: Cross multiply
    295,780x = 647,525 × 647,525
  4. Step 4: Simplify right side
    295,780x = 419,288,625,625
  5. Step 5: Solve for x
    x = 419,288,625,625/295,780
  6. Step 6: Final answer
    x = 1,417,569.23

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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.