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Finding the Third Proportional to 338,663 and 740,293

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Solution

The third proportional to 338,663 and 740,293 is: 1,618,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,663 : 740,293 = 740,293 : x
  2. Step 2: Convert to fraction form
    338,663/740,293 = 740,293/x
  3. Step 3: Cross multiply
    338,663x = 740,293 × 740,293
  4. Step 4: Simplify right side
    338,663x = 548,033,725,849
  5. Step 5: Solve for x
    x = 548,033,725,849/338,663
  6. Step 6: Final answer
    x = 1,618,227.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.