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Finding the Third Proportional to 353,377 and 768,962

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Solution

The third proportional to 353,377 and 768,962 is: 1,673,291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,377 : 768,962 = 768,962 : x
  2. Step 2: Convert to fraction form
    353,377/768,962 = 768,962/x
  3. Step 3: Cross multiply
    353,377x = 768,962 × 768,962
  4. Step 4: Simplify right side
    353,377x = 591,302,557,444
  5. Step 5: Solve for x
    x = 591,302,557,444/353,377
  6. Step 6: Final answer
    x = 1,673,291.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.