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Finding the Third Proportional to 705,340 and 991,104

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Solution

The third proportional to 705,340 and 991,104 is: 1,392,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,340 : 991,104 = 991,104 : x
  2. Step 2: Convert to fraction form
    705,340/991,104 = 991,104/x
  3. Step 3: Cross multiply
    705,340x = 991,104 × 991,104
  4. Step 4: Simplify right side
    705,340x = 982,287,138,816
  5. Step 5: Solve for x
    x = 982,287,138,816/705,340
  6. Step 6: Final answer
    x = 1,392,643.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.