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Finding the Third Proportional to 366,768 and 757,107

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Solution

The third proportional to 366,768 and 757,107 is: 1,562,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,768 : 757,107 = 757,107 : x
  2. Step 2: Convert to fraction form
    366,768/757,107 = 757,107/x
  3. Step 3: Cross multiply
    366,768x = 757,107 × 757,107
  4. Step 4: Simplify right side
    366,768x = 573,211,009,449
  5. Step 5: Solve for x
    x = 573,211,009,449/366,768
  6. Step 6: Final answer
    x = 1,562,870.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.