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Finding the Third Proportional to 349,360 and 748,568

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Solution

The third proportional to 349,360 and 748,568 is: 1,603,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,360 : 748,568 = 748,568 : x
  2. Step 2: Convert to fraction form
    349,360/748,568 = 748,568/x
  3. Step 3: Cross multiply
    349,360x = 748,568 × 748,568
  4. Step 4: Simplify right side
    349,360x = 560,354,050,624
  5. Step 5: Solve for x
    x = 560,354,050,624/349,360
  6. Step 6: Final answer
    x = 1,603,944.50

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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.