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Finding the Third Proportional to 565,629.75 and 791,204.63

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Solution

The third proportional to 565,629.75 and 791,204.63 is: 1,106,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,629.75 : 791,204.63 = 791,204.63 : x
  2. Step 2: Convert to fraction form
    565,629.75/791,204.63 = 791,204.63/x
  3. Step 3: Cross multiply
    565,629.75x = 791,204.63 × 791,204.63
  4. Step 4: Simplify right side
    565,629.75x = 626,004,758,621.39
  5. Step 5: Solve for x
    x = 626,004,758,621.39/565,629.75
  6. Step 6: Final answer
    x = 1,106,739.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.