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Finding the Third Proportional to 366,304 and 760,670

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Solution

The third proportional to 366,304 and 760,670 is: 1,579,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,304 : 760,670 = 760,670 : x
  2. Step 2: Convert to fraction form
    366,304/760,670 = 760,670/x
  3. Step 3: Cross multiply
    366,304x = 760,670 × 760,670
  4. Step 4: Simplify right side
    366,304x = 578,618,848,900
  5. Step 5: Solve for x
    x = 578,618,848,900/366,304
  6. Step 6: Final answer
    x = 1,579,613.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.