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Finding the Third Proportional to 257,066 and 557,036

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Solution

The third proportional to 257,066 and 557,036 is: 1,207,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,066 : 557,036 = 557,036 : x
  2. Step 2: Convert to fraction form
    257,066/557,036 = 557,036/x
  3. Step 3: Cross multiply
    257,066x = 557,036 × 557,036
  4. Step 4: Simplify right side
    257,066x = 310,289,105,296
  5. Step 5: Solve for x
    x = 310,289,105,296/257,066
  6. Step 6: Final answer
    x = 1,207,040.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.