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Finding the Third Proportional to 262,854 and 393,843.38

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Solution

The third proportional to 262,854 and 393,843.38 is: 590,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,854 : 393,843.38 = 393,843.38 : x
  2. Step 2: Convert to fraction form
    262,854/393,843.38 = 393,843.38/x
  3. Step 3: Cross multiply
    262,854x = 393,843.38 × 393,843.38
  4. Step 4: Simplify right side
    262,854x = 155,112,604,031.39
  5. Step 5: Solve for x
    x = 155,112,604,031.39/262,854
  6. Step 6: Final answer
    x = 590,109.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.