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Finding the Third Proportional to 351,885 and 767,283

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Solution

The third proportional to 351,885 and 767,283 is: 1,673,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,885 : 767,283 = 767,283 : x
  2. Step 2: Convert to fraction form
    351,885/767,283 = 767,283/x
  3. Step 3: Cross multiply
    351,885x = 767,283 × 767,283
  4. Step 4: Simplify right side
    351,885x = 588,723,202,089
  5. Step 5: Solve for x
    x = 588,723,202,089/351,885
  6. Step 6: Final answer
    x = 1,673,055.69

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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.