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Finding the Third Proportional to 263,403.75 and 558,153.75

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Solution

The third proportional to 263,403.75 and 558,153.75 is: 1,182,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,403.75 : 558,153.75 = 558,153.75 : x
  2. Step 2: Convert to fraction form
    263,403.75/558,153.75 = 558,153.75/x
  3. Step 3: Cross multiply
    263,403.75x = 558,153.75 × 558,153.75
  4. Step 4: Simplify right side
    263,403.75x = 311,535,608,639.06
  5. Step 5: Solve for x
    x = 311,535,608,639.06/263,403.75
  6. Step 6: Final answer
    x = 1,182,730.35

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.