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Finding the Third Proportional to 584,427.75 and 791,969.63

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Solution

The third proportional to 584,427.75 and 791,969.63 is: 1,073,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,427.75 : 791,969.63 = 791,969.63 : x
  2. Step 2: Convert to fraction form
    584,427.75/791,969.63 = 791,969.63/x
  3. Step 3: Cross multiply
    584,427.75x = 791,969.63 × 791,969.63
  4. Step 4: Simplify right side
    584,427.75x = 627,215,886,922.64
  5. Step 5: Solve for x
    x = 627,215,886,922.64/584,427.75
  6. Step 6: Final answer
    x = 1,073,213.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.