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Finding the Third Proportional to 349,976 and 749,520

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Solution

The third proportional to 349,976 and 749,520 is: 1,605,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,976 : 749,520 = 749,520 : x
  2. Step 2: Convert to fraction form
    349,976/749,520 = 749,520/x
  3. Step 3: Cross multiply
    349,976x = 749,520 × 749,520
  4. Step 4: Simplify right side
    349,976x = 561,780,230,400
  5. Step 5: Solve for x
    x = 561,780,230,400/349,976
  6. Step 6: Final answer
    x = 1,605,196.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.