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Finding the Third Proportional to 291,233 and 622,959

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Solution

The third proportional to 291,233 and 622,959 is: 1,332,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,233 : 622,959 = 622,959 : x
  2. Step 2: Convert to fraction form
    291,233/622,959 = 622,959/x
  3. Step 3: Cross multiply
    291,233x = 622,959 × 622,959
  4. Step 4: Simplify right side
    291,233x = 388,077,915,681
  5. Step 5: Solve for x
    x = 388,077,915,681/291,233
  6. Step 6: Final answer
    x = 1,332,534.14

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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.