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Finding the Third Proportional to 262,350 and 579,831

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Solution

The third proportional to 262,350 and 579,831 is: 1,281,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,350 : 579,831 = 579,831 : x
  2. Step 2: Convert to fraction form
    262,350/579,831 = 579,831/x
  3. Step 3: Cross multiply
    262,350x = 579,831 × 579,831
  4. Step 4: Simplify right side
    262,350x = 336,203,988,561
  5. Step 5: Solve for x
    x = 336,203,988,561/262,350
  6. Step 6: Final answer
    x = 1,281,509.39

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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.