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Finding the Third Proportional to 340,341 and 715,512

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Solution

The third proportional to 340,341 and 715,512 is: 1,504,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,341 : 715,512 = 715,512 : x
  2. Step 2: Convert to fraction form
    340,341/715,512 = 715,512/x
  3. Step 3: Cross multiply
    340,341x = 715,512 × 715,512
  4. Step 4: Simplify right side
    340,341x = 511,957,422,144
  5. Step 5: Solve for x
    x = 511,957,422,144/340,341
  6. Step 6: Final answer
    x = 1,504,248.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.