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Finding the Third Proportional to 349,743 and 749,102

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Solution

The third proportional to 349,743 and 749,102 is: 1,604,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,743 : 749,102 = 749,102 : x
  2. Step 2: Convert to fraction form
    349,743/749,102 = 749,102/x
  3. Step 3: Cross multiply
    349,743x = 749,102 × 749,102
  4. Step 4: Simplify right side
    349,743x = 561,153,806,404
  5. Step 5: Solve for x
    x = 561,153,806,404/349,743
  6. Step 6: Final answer
    x = 1,604,474.73

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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.