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Finding the Third Proportional to 283,122.75 and 599,037.75

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Solution

The third proportional to 283,122.75 and 599,037.75 is: 1,267,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,122.75 : 599,037.75 = 599,037.75 : x
  2. Step 2: Convert to fraction form
    283,122.75/599,037.75 = 599,037.75/x
  3. Step 3: Cross multiply
    283,122.75x = 599,037.75 × 599,037.75
  4. Step 4: Simplify right side
    283,122.75x = 358,846,225,925.06
  5. Step 5: Solve for x
    x = 358,846,225,925.06/283,122.75
  6. Step 6: Final answer
    x = 1,267,458.11

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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.