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Finding the Third Proportional to 270,826 and 594,164

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Solution

The third proportional to 270,826 and 594,164 is: 1,303,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,826 : 594,164 = 594,164 : x
  2. Step 2: Convert to fraction form
    270,826/594,164 = 594,164/x
  3. Step 3: Cross multiply
    270,826x = 594,164 × 594,164
  4. Step 4: Simplify right side
    270,826x = 353,030,858,896
  5. Step 5: Solve for x
    x = 353,030,858,896/270,826
  6. Step 6: Final answer
    x = 1,303,533.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.