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Finding the Third Proportional to 474,237 and 693,606

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Solution

The third proportional to 474,237 and 693,606 is: 1,014,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,237 : 693,606 = 693,606 : x
  2. Step 2: Convert to fraction form
    474,237/693,606 = 693,606/x
  3. Step 3: Cross multiply
    474,237x = 693,606 × 693,606
  4. Step 4: Simplify right side
    474,237x = 481,089,283,236
  5. Step 5: Solve for x
    x = 481,089,283,236/474,237
  6. Step 6: Final answer
    x = 1,014,449.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.