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Finding the Third Proportional to 424,188 and 622,026

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Solution

The third proportional to 424,188 and 622,026 is: 912,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,188 : 622,026 = 622,026 : x
  2. Step 2: Convert to fraction form
    424,188/622,026 = 622,026/x
  3. Step 3: Cross multiply
    424,188x = 622,026 × 622,026
  4. Step 4: Simplify right side
    424,188x = 386,916,344,676
  5. Step 5: Solve for x
    x = 386,916,344,676/424,188
  6. Step 6: Final answer
    x = 912,134.11

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