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Finding the Third Proportional to 262,932 and 575,620

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Solution

The third proportional to 262,932 and 575,620 is: 1,260,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,932 : 575,620 = 575,620 : x
  2. Step 2: Convert to fraction form
    262,932/575,620 = 575,620/x
  3. Step 3: Cross multiply
    262,932x = 575,620 × 575,620
  4. Step 4: Simplify right side
    262,932x = 331,338,384,400
  5. Step 5: Solve for x
    x = 331,338,384,400/262,932
  6. Step 6: Final answer
    x = 1,260,167.59

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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.