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Finding the Third Proportional to 474,270 and 693,633

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Solution

The third proportional to 474,270 and 693,633 is: 1,014,457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,270 : 693,633 = 693,633 : x
  2. Step 2: Convert to fraction form
    474,270/693,633 = 693,633/x
  3. Step 3: Cross multiply
    474,270x = 693,633 × 693,633
  4. Step 4: Simplify right side
    474,270x = 481,126,738,689
  5. Step 5: Solve for x
    x = 481,126,738,689/474,270
  6. Step 6: Final answer
    x = 1,014,457.46

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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.