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Finding the Third Proportional to 401,953 and 879,236

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Solution

The third proportional to 401,953 and 879,236 is: 1,923,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,953 : 879,236 = 879,236 : x
  2. Step 2: Convert to fraction form
    401,953/879,236 = 879,236/x
  3. Step 3: Cross multiply
    401,953x = 879,236 × 879,236
  4. Step 4: Simplify right side
    401,953x = 773,055,943,696
  5. Step 5: Solve for x
    x = 773,055,943,696/401,953
  6. Step 6: Final answer
    x = 1,923,249.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.