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Finding the Third Proportional to 474,315.75 and 622,738.13

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Solution

The third proportional to 474,315.75 and 622,738.13 is: 817,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,315.75 : 622,738.13 = 622,738.13 : x
  2. Step 2: Convert to fraction form
    474,315.75/622,738.13 = 622,738.13/x
  3. Step 3: Cross multiply
    474,315.75x = 622,738.13 × 622,738.13
  4. Step 4: Simplify right side
    474,315.75x = 387,802,772,328.52
  5. Step 5: Solve for x
    x = 387,802,772,328.52/474,315.75
  6. Step 6: Final answer
    x = 817,604.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.