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Finding the Third Proportional to 366,958 and 767,206

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Solution

The third proportional to 366,958 and 767,206 is: 1,604,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,958 : 767,206 = 767,206 : x
  2. Step 2: Convert to fraction form
    366,958/767,206 = 767,206/x
  3. Step 3: Cross multiply
    366,958x = 767,206 × 767,206
  4. Step 4: Simplify right side
    366,958x = 588,605,046,436
  5. Step 5: Solve for x
    x = 588,605,046,436/366,958
  6. Step 6: Final answer
    x = 1,604,012.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.