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Finding the Third Proportional to 290,629.50 and 627,123

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Solution

The third proportional to 290,629.50 and 627,123 is: 1,353,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,629.50 : 627,123 = 627,123 : x
  2. Step 2: Convert to fraction form
    290,629.50/627,123 = 627,123/x
  3. Step 3: Cross multiply
    290,629.50x = 627,123 × 627,123
  4. Step 4: Simplify right side
    290,629.50x = 393,283,257,129
  5. Step 5: Solve for x
    x = 393,283,257,129/290,629.50
  6. Step 6: Final answer
    x = 1,353,211.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.