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Finding the Third Proportional to 263,670.19 and 565,476.19

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Solution

The third proportional to 263,670.19 and 565,476.19 is: 1,212,739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,670.19 : 565,476.19 = 565,476.19 : x
  2. Step 2: Convert to fraction form
    263,670.19/565,476.19 = 565,476.19/x
  3. Step 3: Cross multiply
    263,670.19x = 565,476.19 × 565,476.19
  4. Step 4: Simplify right side
    263,670.19x = 319,763,318,629.54
  5. Step 5: Solve for x
    x = 319,763,318,629.54/263,670.19
  6. Step 6: Final answer
    x = 1,212,739.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.