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Finding the Third Proportional to 449,296 and 675,768

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Solution

The third proportional to 449,296 and 675,768 is: 1,016,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,296 : 675,768 = 675,768 : x
  2. Step 2: Convert to fraction form
    449,296/675,768 = 675,768/x
  3. Step 3: Cross multiply
    449,296x = 675,768 × 675,768
  4. Step 4: Simplify right side
    449,296x = 456,662,389,824
  5. Step 5: Solve for x
    x = 456,662,389,824/449,296
  6. Step 6: Final answer
    x = 1,016,395.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.