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Finding the Third Proportional to 368,558 and 774,256

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Solution

The third proportional to 368,558 and 774,256 is: 1,626,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,558 : 774,256 = 774,256 : x
  2. Step 2: Convert to fraction form
    368,558/774,256 = 774,256/x
  3. Step 3: Cross multiply
    368,558x = 774,256 × 774,256
  4. Step 4: Simplify right side
    368,558x = 599,472,353,536
  5. Step 5: Solve for x
    x = 599,472,353,536/368,558
  6. Step 6: Final answer
    x = 1,626,534.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.