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Finding the Third Proportional to 349,636 and 754,568

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Solution

The third proportional to 349,636 and 754,568 is: 1,628,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,636 : 754,568 = 754,568 : x
  2. Step 2: Convert to fraction form
    349,636/754,568 = 754,568/x
  3. Step 3: Cross multiply
    349,636x = 754,568 × 754,568
  4. Step 4: Simplify right side
    349,636x = 569,372,866,624
  5. Step 5: Solve for x
    x = 569,372,866,624/349,636
  6. Step 6: Final answer
    x = 1,628,473.23

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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.