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Finding the Third Proportional to 348,656 and 752,608

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Solution

The third proportional to 348,656 and 752,608 is: 1,624,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,656 : 752,608 = 752,608 : x
  2. Step 2: Convert to fraction form
    348,656/752,608 = 752,608/x
  3. Step 3: Cross multiply
    348,656x = 752,608 × 752,608
  4. Step 4: Simplify right side
    348,656x = 566,418,801,664
  5. Step 5: Solve for x
    x = 566,418,801,664/348,656
  6. Step 6: Final answer
    x = 1,624,577.81

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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.