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Finding the Third Proportional to 228,840.75 and 478,594.69

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Solution

The third proportional to 228,840.75 and 478,594.69 is: 1,000,926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,840.75 : 478,594.69 = 478,594.69 : x
  2. Step 2: Convert to fraction form
    228,840.75/478,594.69 = 478,594.69/x
  3. Step 3: Cross multiply
    228,840.75x = 478,594.69 × 478,594.69
  4. Step 4: Simplify right side
    228,840.75x = 229,052,874,903.22
  5. Step 5: Solve for x
    x = 229,052,874,903.22/228,840.75
  6. Step 6: Final answer
    x = 1,000,926.95

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.