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Finding the Third Proportional to 254,400 and 373,824

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Solution

The third proportional to 254,400 and 373,824 is: 549,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,400 : 373,824 = 373,824 : x
  2. Step 2: Convert to fraction form
    254,400/373,824 = 373,824/x
  3. Step 3: Cross multiply
    254,400x = 373,824 × 373,824
  4. Step 4: Simplify right side
    254,400x = 139,744,382,976
  5. Step 5: Solve for x
    x = 139,744,382,976/254,400
  6. Step 6: Final answer
    x = 549,309.68

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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.