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Finding the Third Proportional to 255,695 and 567,280

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Solution

The third proportional to 255,695 and 567,280 is: 1,258,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,695 : 567,280 = 567,280 : x
  2. Step 2: Convert to fraction form
    255,695/567,280 = 567,280/x
  3. Step 3: Cross multiply
    255,695x = 567,280 × 567,280
  4. Step 4: Simplify right side
    255,695x = 321,806,598,400
  5. Step 5: Solve for x
    x = 321,806,598,400/255,695
  6. Step 6: Final answer
    x = 1,258,556.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.