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Finding the Third Proportional to 291,239 and 622,967

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Solution

The third proportional to 291,239 and 622,967 is: 1,332,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,239 : 622,967 = 622,967 : x
  2. Step 2: Convert to fraction form
    291,239/622,967 = 622,967/x
  3. Step 3: Cross multiply
    291,239x = 622,967 × 622,967
  4. Step 4: Simplify right side
    291,239x = 388,087,883,089
  5. Step 5: Solve for x
    x = 388,087,883,089/291,239
  6. Step 6: Final answer
    x = 1,332,540.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.