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Finding the Third Proportional to 424,562 and 627,123

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Solution

The third proportional to 424,562 and 627,123 is: 926,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,562 : 627,123 = 627,123 : x
  2. Step 2: Convert to fraction form
    424,562/627,123 = 627,123/x
  3. Step 3: Cross multiply
    424,562x = 627,123 × 627,123
  4. Step 4: Simplify right side
    424,562x = 393,283,257,129
  5. Step 5: Solve for x
    x = 393,283,257,129/424,562
  6. Step 6: Final answer
    x = 926,327.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.