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Finding the Third Proportional to 366,568 and 776,551

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Solution

The third proportional to 366,568 and 776,551 is: 1,645,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,568 : 776,551 = 776,551 : x
  2. Step 2: Convert to fraction form
    366,568/776,551 = 776,551/x
  3. Step 3: Cross multiply
    366,568x = 776,551 × 776,551
  4. Step 4: Simplify right side
    366,568x = 603,031,455,601
  5. Step 5: Solve for x
    x = 603,031,455,601/366,568
  6. Step 6: Final answer
    x = 1,645,073.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.