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Finding the Third Proportional to 255,360 and 518,016

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Solution

The third proportional to 255,360 and 518,016 is: 1,050,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,360 : 518,016 = 518,016 : x
  2. Step 2: Convert to fraction form
    255,360/518,016 = 518,016/x
  3. Step 3: Cross multiply
    255,360x = 518,016 × 518,016
  4. Step 4: Simplify right side
    255,360x = 268,340,576,256
  5. Step 5: Solve for x
    x = 268,340,576,256/255,360
  6. Step 6: Final answer
    x = 1,050,832.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.