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Finding the Third Proportional to 248,777 and 372,774

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Solution

The third proportional to 248,777 and 372,774 is: 558,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,777 : 372,774 = 372,774 : x
  2. Step 2: Convert to fraction form
    248,777/372,774 = 372,774/x
  3. Step 3: Cross multiply
    248,777x = 372,774 × 372,774
  4. Step 4: Simplify right side
    248,777x = 138,960,455,076
  5. Step 5: Solve for x
    x = 138,960,455,076/248,777
  6. Step 6: Final answer
    x = 558,574.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.