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Finding the Third Proportional to 449,346 and 693,930

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Solution

The third proportional to 449,346 and 693,930 is: 1,071,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,346 : 693,930 = 693,930 : x
  2. Step 2: Convert to fraction form
    449,346/693,930 = 693,930/x
  3. Step 3: Cross multiply
    449,346x = 693,930 × 693,930
  4. Step 4: Simplify right side
    449,346x = 481,538,844,900
  5. Step 5: Solve for x
    x = 481,538,844,900/449,346
  6. Step 6: Final answer
    x = 1,071,643.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.