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Finding the Third Proportional to 262,854 and 371,932

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Solution

The third proportional to 262,854 and 371,932 is: 526,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,854 : 371,932 = 371,932 : x
  2. Step 2: Convert to fraction form
    262,854/371,932 = 371,932/x
  3. Step 3: Cross multiply
    262,854x = 371,932 × 371,932
  4. Step 4: Simplify right side
    262,854x = 138,333,412,624
  5. Step 5: Solve for x
    x = 138,333,412,624/262,854
  6. Step 6: Final answer
    x = 526,274.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.