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Finding the Third Proportional to 282,358.50 and 550,530

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Solution

The third proportional to 282,358.50 and 550,530 is: 1,073,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,358.50 : 550,530 = 550,530 : x
  2. Step 2: Convert to fraction form
    282,358.50/550,530 = 550,530/x
  3. Step 3: Cross multiply
    282,358.50x = 550,530 × 550,530
  4. Step 4: Simplify right side
    282,358.50x = 303,083,280,900
  5. Step 5: Solve for x
    x = 303,083,280,900/282,358.50
  6. Step 6: Final answer
    x = 1,073,398.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.