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Finding the Third Proportional to 349,200 and 754,092

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Solution

The third proportional to 349,200 and 754,092 is: 1,628,450.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,200 : 754,092 = 754,092 : x
  2. Step 2: Convert to fraction form
    349,200/754,092 = 754,092/x
  3. Step 3: Cross multiply
    349,200x = 754,092 × 754,092
  4. Step 4: Simplify right side
    349,200x = 568,654,744,464
  5. Step 5: Solve for x
    x = 568,654,744,464/349,200
  6. Step 6: Final answer
    x = 1,628,450.01

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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.