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Finding the Third Proportional to 291,256 and 622,998

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Solution

The third proportional to 291,256 and 622,998 is: 1,332,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,256 : 622,998 = 622,998 : x
  2. Step 2: Convert to fraction form
    291,256/622,998 = 622,998/x
  3. Step 3: Cross multiply
    291,256x = 622,998 × 622,998
  4. Step 4: Simplify right side
    291,256x = 388,126,508,004
  5. Step 5: Solve for x
    x = 388,126,508,004/291,256
  6. Step 6: Final answer
    x = 1,332,595.75

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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.