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Finding the Third Proportional to 280,300 and 612,764

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Solution

The third proportional to 280,300 and 612,764 is: 1,339,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,300 : 612,764 = 612,764 : x
  2. Step 2: Convert to fraction form
    280,300/612,764 = 612,764/x
  3. Step 3: Cross multiply
    280,300x = 612,764 × 612,764
  4. Step 4: Simplify right side
    280,300x = 375,479,719,696
  5. Step 5: Solve for x
    x = 375,479,719,696/280,300
  6. Step 6: Final answer
    x = 1,339,563.75

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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.