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Finding the Third Proportional to 294,655.50 and 627,946.88

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Solution

The third proportional to 294,655.50 and 627,946.88 is: 1,338,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,655.50 : 627,946.88 = 627,946.88 : x
  2. Step 2: Convert to fraction form
    294,655.50/627,946.88 = 627,946.88/x
  3. Step 3: Cross multiply
    294,655.50x = 627,946.88 × 627,946.88
  4. Step 4: Simplify right side
    294,655.50x = 394,317,277,822.27
  5. Step 5: Solve for x
    x = 394,317,277,822.27/294,655.50
  6. Step 6: Final answer
    x = 1,338,231.52

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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.