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Finding the Third Proportional to 257,328 and 567,009

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Solution

The third proportional to 257,328 and 567,009 is: 1,249,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,328 : 567,009 = 567,009 : x
  2. Step 2: Convert to fraction form
    257,328/567,009 = 567,009/x
  3. Step 3: Cross multiply
    257,328x = 567,009 × 567,009
  4. Step 4: Simplify right side
    257,328x = 321,499,206,081
  5. Step 5: Solve for x
    x = 321,499,206,081/257,328
  6. Step 6: Final answer
    x = 1,249,375.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.