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Finding the Third Proportional to 338,293 and 727,616

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Solution

The third proportional to 338,293 and 727,616 is: 1,564,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,293 : 727,616 = 727,616 : x
  2. Step 2: Convert to fraction form
    338,293/727,616 = 727,616/x
  3. Step 3: Cross multiply
    338,293x = 727,616 × 727,616
  4. Step 4: Simplify right side
    338,293x = 529,425,043,456
  5. Step 5: Solve for x
    x = 529,425,043,456/338,293
  6. Step 6: Final answer
    x = 1,564,989.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.