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Finding the Third Proportional to 355,284.75 and 546,105.75

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Solution

The third proportional to 355,284.75 and 546,105.75 is: 839,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,284.75 : 546,105.75 = 546,105.75 : x
  2. Step 2: Convert to fraction form
    355,284.75/546,105.75 = 546,105.75/x
  3. Step 3: Cross multiply
    355,284.75x = 546,105.75 × 546,105.75
  4. Step 4: Simplify right side
    355,284.75x = 298,231,490,183.06
  5. Step 5: Solve for x
    x = 298,231,490,183.06/355,284.75
  6. Step 6: Final answer
    x = 839,415.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.