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Finding the Third Proportional to 274,823 and 602,782

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Solution

The third proportional to 274,823 and 602,782 is: 1,322,109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,823 : 602,782 = 602,782 : x
  2. Step 2: Convert to fraction form
    274,823/602,782 = 602,782/x
  3. Step 3: Cross multiply
    274,823x = 602,782 × 602,782
  4. Step 4: Simplify right side
    274,823x = 363,346,139,524
  5. Step 5: Solve for x
    x = 363,346,139,524/274,823
  6. Step 6: Final answer
    x = 1,322,109.65

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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.