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Finding the Third Proportional to 291,231 and 622,955

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Solution

The third proportional to 291,231 and 622,955 is: 1,332,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,231 : 622,955 = 622,955 : x
  2. Step 2: Convert to fraction form
    291,231/622,955 = 622,955/x
  3. Step 3: Cross multiply
    291,231x = 622,955 × 622,955
  4. Step 4: Simplify right side
    291,231x = 388,072,932,025
  5. Step 5: Solve for x
    x = 388,072,932,025/291,231
  6. Step 6: Final answer
    x = 1,332,526.18

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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.