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Finding the Third Proportional to 248,774 and 536,860

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Solution

The third proportional to 248,774 and 536,860 is: 1,158,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,774 : 536,860 = 536,860 : x
  2. Step 2: Convert to fraction form
    248,774/536,860 = 536,860/x
  3. Step 3: Cross multiply
    248,774x = 536,860 × 536,860
  4. Step 4: Simplify right side
    248,774x = 288,218,659,600
  5. Step 5: Solve for x
    x = 288,218,659,600/248,774
  6. Step 6: Final answer
    x = 1,158,556.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.