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Finding the Third Proportional to 349,104 and 753,924

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Solution

The third proportional to 349,104 and 753,924 is: 1,628,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,104 : 753,924 = 753,924 : x
  2. Step 2: Convert to fraction form
    349,104/753,924 = 753,924/x
  3. Step 3: Cross multiply
    349,104x = 753,924 × 753,924
  4. Step 4: Simplify right side
    349,104x = 568,401,397,776
  5. Step 5: Solve for x
    x = 568,401,397,776/349,104
  6. Step 6: Final answer
    x = 1,628,172.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.