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Finding the Third Proportional to 254,040 and 374,042

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Solution

The third proportional to 254,040 and 374,042 is: 550,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,040 : 374,042 = 374,042 : x
  2. Step 2: Convert to fraction form
    254,040/374,042 = 374,042/x
  3. Step 3: Cross multiply
    254,040x = 374,042 × 374,042
  4. Step 4: Simplify right side
    254,040x = 139,907,417,764
  5. Step 5: Solve for x
    x = 139,907,417,764/254,040
  6. Step 6: Final answer
    x = 550,729.88

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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.