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Finding the Third Proportional to 349,512 and 758,208

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Solution

The third proportional to 349,512 and 758,208 is: 1,644,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,512 : 758,208 = 758,208 : x
  2. Step 2: Convert to fraction form
    349,512/758,208 = 758,208/x
  3. Step 3: Cross multiply
    349,512x = 758,208 × 758,208
  4. Step 4: Simplify right side
    349,512x = 574,879,371,264
  5. Step 5: Solve for x
    x = 574,879,371,264/349,512
  6. Step 6: Final answer
    x = 1,644,805.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.