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Finding the Third Proportional to 294,656.50 and 627,949

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Solution

The third proportional to 294,656.50 and 627,949 is: 1,338,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,656.50 : 627,949 = 627,949 : x
  2. Step 2: Convert to fraction form
    294,656.50/627,949 = 627,949/x
  3. Step 3: Cross multiply
    294,656.50x = 627,949 × 627,949
  4. Step 4: Simplify right side
    294,656.50x = 394,319,946,601
  5. Step 5: Solve for x
    x = 394,319,946,601/294,656.50
  6. Step 6: Final answer
    x = 1,338,236.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.