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Finding the Third Proportional to 336,710 and 726,832

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Solution

The third proportional to 336,710 and 726,832 is: 1,568,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,710 : 726,832 = 726,832 : x
  2. Step 2: Convert to fraction form
    336,710/726,832 = 726,832/x
  3. Step 3: Cross multiply
    336,710x = 726,832 × 726,832
  4. Step 4: Simplify right side
    336,710x = 528,284,756,224
  5. Step 5: Solve for x
    x = 528,284,756,224/336,710
  6. Step 6: Final answer
    x = 1,568,960.70

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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.