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Finding the Third Proportional to 367,072 and 680,743

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Solution

The third proportional to 367,072 and 680,743 is: 1,262,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,072 : 680,743 = 680,743 : x
  2. Step 2: Convert to fraction form
    367,072/680,743 = 680,743/x
  3. Step 3: Cross multiply
    367,072x = 680,743 × 680,743
  4. Step 4: Simplify right side
    367,072x = 463,411,032,049
  5. Step 5: Solve for x
    x = 463,411,032,049/367,072
  6. Step 6: Final answer
    x = 1,262,452.69

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.