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Finding the Third Proportional to 254,405 and 373,831

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Solution

The third proportional to 254,405 and 373,831 is: 549,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,405 : 373,831 = 373,831 : x
  2. Step 2: Convert to fraction form
    254,405/373,831 = 373,831/x
  3. Step 3: Cross multiply
    254,405x = 373,831 × 373,831
  4. Step 4: Simplify right side
    254,405x = 139,749,616,561
  5. Step 5: Solve for x
    x = 139,749,616,561/254,405
  6. Step 6: Final answer
    x = 549,319.46

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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.