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Finding the Third Proportional to 291,224 and 622,928

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Solution

The third proportional to 291,224 and 622,928 is: 1,332,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,224 : 622,928 = 622,928 : x
  2. Step 2: Convert to fraction form
    291,224/622,928 = 622,928/x
  3. Step 3: Cross multiply
    291,224x = 622,928 × 622,928
  4. Step 4: Simplify right side
    291,224x = 388,039,293,184
  5. Step 5: Solve for x
    x = 388,039,293,184/291,224
  6. Step 6: Final answer
    x = 1,332,442.70

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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.