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Finding the Third Proportional to 536,976 and 752,568

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Solution

The third proportional to 536,976 and 752,568 is: 1,054,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,976 : 752,568 = 752,568 : x
  2. Step 2: Convert to fraction form
    536,976/752,568 = 752,568/x
  3. Step 3: Cross multiply
    536,976x = 752,568 × 752,568
  4. Step 4: Simplify right side
    536,976x = 566,358,594,624
  5. Step 5: Solve for x
    x = 566,358,594,624/536,976
  6. Step 6: Final answer
    x = 1,054,718.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.