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Finding the Third Proportional to 349,464 and 821,436

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Solution

The third proportional to 349,464 and 821,436 is: 1,930,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,464 : 821,436 = 821,436 : x
  2. Step 2: Convert to fraction form
    349,464/821,436 = 821,436/x
  3. Step 3: Cross multiply
    349,464x = 821,436 × 821,436
  4. Step 4: Simplify right side
    349,464x = 674,757,102,096
  5. Step 5: Solve for x
    x = 674,757,102,096/349,464
  6. Step 6: Final answer
    x = 1,930,834.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.