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Finding the Third Proportional to 338,632 and 722,264

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Solution

The third proportional to 338,632 and 722,264 is: 1,540,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,632 : 722,264 = 722,264 : x
  2. Step 2: Convert to fraction form
    338,632/722,264 = 722,264/x
  3. Step 3: Cross multiply
    338,632x = 722,264 × 722,264
  4. Step 4: Simplify right side
    338,632x = 521,665,285,696
  5. Step 5: Solve for x
    x = 521,665,285,696/338,632
  6. Step 6: Final answer
    x = 1,540,507.94

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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.