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Finding the Third Proportional to 447,973 and 693,627

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Solution

The third proportional to 447,973 and 693,627 is: 1,073,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,973 : 693,627 = 693,627 : x
  2. Step 2: Convert to fraction form
    447,973/693,627 = 693,627/x
  3. Step 3: Cross multiply
    447,973x = 693,627 × 693,627
  4. Step 4: Simplify right side
    447,973x = 481,118,415,129
  5. Step 5: Solve for x
    x = 481,118,415,129/447,973
  6. Step 6: Final answer
    x = 1,073,989.76

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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.