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Finding the Third Proportional to 291,954 and 631,884

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Solution

The third proportional to 291,954 and 631,884 is: 1,367,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,954 : 631,884 = 631,884 : x
  2. Step 2: Convert to fraction form
    291,954/631,884 = 631,884/x
  3. Step 3: Cross multiply
    291,954x = 631,884 × 631,884
  4. Step 4: Simplify right side
    291,954x = 399,277,389,456
  5. Step 5: Solve for x
    x = 399,277,389,456/291,954
  6. Step 6: Final answer
    x = 1,367,603.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.