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Finding the Third Proportional to 257,330 and 567,014

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Solution

The third proportional to 257,330 and 567,014 is: 1,249,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,330 : 567,014 = 567,014 : x
  2. Step 2: Convert to fraction form
    257,330/567,014 = 567,014/x
  3. Step 3: Cross multiply
    257,330x = 567,014 × 567,014
  4. Step 4: Simplify right side
    257,330x = 321,504,876,196
  5. Step 5: Solve for x
    x = 321,504,876,196/257,330
  6. Step 6: Final answer
    x = 1,249,387.46

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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.