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Finding the Third Proportional to 270,804 and 594,120

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Solution

The third proportional to 270,804 and 594,120 is: 1,303,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,804 : 594,120 = 594,120 : x
  2. Step 2: Convert to fraction form
    270,804/594,120 = 594,120/x
  3. Step 3: Cross multiply
    270,804x = 594,120 × 594,120
  4. Step 4: Simplify right side
    270,804x = 352,978,574,400
  5. Step 5: Solve for x
    x = 352,978,574,400/270,804
  6. Step 6: Final answer
    x = 1,303,446.68

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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.