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Finding the Third Proportional to 353,775 and 763,593

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Solution

The third proportional to 353,775 and 763,593 is: 1,648,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,775 : 763,593 = 763,593 : x
  2. Step 2: Convert to fraction form
    353,775/763,593 = 763,593/x
  3. Step 3: Cross multiply
    353,775x = 763,593 × 763,593
  4. Step 4: Simplify right side
    353,775x = 583,074,269,649
  5. Step 5: Solve for x
    x = 583,074,269,649/353,775
  6. Step 6: Final answer
    x = 1,648,150.01

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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.