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Finding the Third Proportional to 254,418 and 373,847

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Solution

The third proportional to 254,418 and 373,847 is: 549,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,418 : 373,847 = 373,847 : x
  2. Step 2: Convert to fraction form
    254,418/373,847 = 373,847/x
  3. Step 3: Cross multiply
    254,418x = 373,847 × 373,847
  4. Step 4: Simplify right side
    254,418x = 139,761,579,409
  5. Step 5: Solve for x
    x = 139,761,579,409/254,418
  6. Step 6: Final answer
    x = 549,338.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.