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Finding the Third Proportional to 242,708 and 504,782

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Solution

The third proportional to 242,708 and 504,782 is: 1,049,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,708 : 504,782 = 504,782 : x
  2. Step 2: Convert to fraction form
    242,708/504,782 = 504,782/x
  3. Step 3: Cross multiply
    242,708x = 504,782 × 504,782
  4. Step 4: Simplify right side
    242,708x = 254,804,867,524
  5. Step 5: Solve for x
    x = 254,804,867,524/242,708
  6. Step 6: Final answer
    x = 1,049,841.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.