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Finding the Third Proportional to 254,030 and 374,026

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Solution

The third proportional to 254,030 and 374,026 is: 550,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,030 : 374,026 = 374,026 : x
  2. Step 2: Convert to fraction form
    254,030/374,026 = 374,026/x
  3. Step 3: Cross multiply
    254,030x = 374,026 × 374,026
  4. Step 4: Simplify right side
    254,030x = 139,895,448,676
  5. Step 5: Solve for x
    x = 139,895,448,676/254,030
  6. Step 6: Final answer
    x = 550,704.44

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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.