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Finding the Third Proportional to 348,648 and 752,592

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Solution

The third proportional to 348,648 and 752,592 is: 1,624,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,648 : 752,592 = 752,592 : x
  2. Step 2: Convert to fraction form
    348,648/752,592 = 752,592/x
  3. Step 3: Cross multiply
    348,648x = 752,592 × 752,592
  4. Step 4: Simplify right side
    348,648x = 566,394,718,464
  5. Step 5: Solve for x
    x = 566,394,718,464/348,648
  6. Step 6: Final answer
    x = 1,624,546.01

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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.