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Finding the Third Proportional to 348,624 and 752,544

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Solution

The third proportional to 348,624 and 752,544 is: 1,624,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,624 : 752,544 = 752,544 : x
  2. Step 2: Convert to fraction form
    348,624/752,544 = 752,544/x
  3. Step 3: Cross multiply
    348,624x = 752,544 × 752,544
  4. Step 4: Simplify right side
    348,624x = 566,322,471,936
  5. Step 5: Solve for x
    x = 566,322,471,936/348,624
  6. Step 6: Final answer
    x = 1,624,450.62

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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.