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Finding the Third Proportional to 424,188 and 622,024

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Solution

The third proportional to 424,188 and 622,024 is: 912,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,188 : 622,024 = 622,024 : x
  2. Step 2: Convert to fraction form
    424,188/622,024 = 622,024/x
  3. Step 3: Cross multiply
    424,188x = 622,024 × 622,024
  4. Step 4: Simplify right side
    424,188x = 386,913,856,576
  5. Step 5: Solve for x
    x = 386,913,856,576/424,188
  6. Step 6: Final answer
    x = 912,128.25

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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.