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Finding the Third Proportional to 368,019 and 749,568

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Solution

The third proportional to 368,019 and 749,568 is: 1,526,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,019 : 749,568 = 749,568 : x
  2. Step 2: Convert to fraction form
    368,019/749,568 = 749,568/x
  3. Step 3: Cross multiply
    368,019x = 749,568 × 749,568
  4. Step 4: Simplify right side
    368,019x = 561,852,186,624
  5. Step 5: Solve for x
    x = 561,852,186,624/368,019
  6. Step 6: Final answer
    x = 1,526,693.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.