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Finding the Third Proportional to 368,382.75 and 550,299

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Solution

The third proportional to 368,382.75 and 550,299 is: 822,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,382.75 : 550,299 = 550,299 : x
  2. Step 2: Convert to fraction form
    368,382.75/550,299 = 550,299/x
  3. Step 3: Cross multiply
    368,382.75x = 550,299 × 550,299
  4. Step 4: Simplify right side
    368,382.75x = 302,828,989,401
  5. Step 5: Solve for x
    x = 302,828,989,401/368,382.75
  6. Step 6: Final answer
    x = 822,049.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.