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Finding the Third Proportional to 447,983 and 693,642

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Solution

The third proportional to 447,983 and 693,642 is: 1,074,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,983 : 693,642 = 693,642 : x
  2. Step 2: Convert to fraction form
    447,983/693,642 = 693,642/x
  3. Step 3: Cross multiply
    447,983x = 693,642 × 693,642
  4. Step 4: Simplify right side
    447,983x = 481,139,224,164
  5. Step 5: Solve for x
    x = 481,139,224,164/447,983
  6. Step 6: Final answer
    x = 1,074,012.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.