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Finding the Third Proportional to 295,630.50 and 670,185

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Solution

The third proportional to 295,630.50 and 670,185 is: 1,519,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,630.50 : 670,185 = 670,185 : x
  2. Step 2: Convert to fraction form
    295,630.50/670,185 = 670,185/x
  3. Step 3: Cross multiply
    295,630.50x = 670,185 × 670,185
  4. Step 4: Simplify right side
    295,630.50x = 449,147,934,225
  5. Step 5: Solve for x
    x = 449,147,934,225/295,630.50
  6. Step 6: Final answer
    x = 1,519,288.21

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.