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Finding the Third Proportional to 391,765.60 and 848,741.81

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Solution

The third proportional to 391,765.60 and 848,741.81 is: 1,838,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,765.60 : 848,741.81 = 848,741.81 : x
  2. Step 2: Convert to fraction form
    391,765.60/848,741.81 = 848,741.81/x
  3. Step 3: Cross multiply
    391,765.60x = 848,741.81 × 848,741.81
  4. Step 4: Simplify right side
    391,765.60x = 720,362,659,312.75
  5. Step 5: Solve for x
    x = 720,362,659,312.75/391,765.60
  6. Step 6: Final answer
    x = 1,838,759.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.