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Finding the Third Proportional to 282,540 and 619,950

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Solution

The third proportional to 282,540 and 619,950 is: 1,360,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,540 : 619,950 = 619,950 : x
  2. Step 2: Convert to fraction form
    282,540/619,950 = 619,950/x
  3. Step 3: Cross multiply
    282,540x = 619,950 × 619,950
  4. Step 4: Simplify right side
    282,540x = 384,338,002,500
  5. Step 5: Solve for x
    x = 384,338,002,500/282,540
  6. Step 6: Final answer
    x = 1,360,295.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.