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Finding the Third Proportional to 367,074 and 680,747

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Solution

The third proportional to 367,074 and 680,747 is: 1,262,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,074 : 680,747 = 680,747 : x
  2. Step 2: Convert to fraction form
    367,074/680,747 = 680,747/x
  3. Step 3: Cross multiply
    367,074x = 680,747 × 680,747
  4. Step 4: Simplify right side
    367,074x = 463,416,478,009
  5. Step 5: Solve for x
    x = 463,416,478,009/367,074
  6. Step 6: Final answer
    x = 1,262,460.64

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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.