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Finding the Third Proportional to 263,450 and 569,020

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Solution

The third proportional to 263,450 and 569,020 is: 1,229,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,450 : 569,020 = 569,020 : x
  2. Step 2: Convert to fraction form
    263,450/569,020 = 569,020/x
  3. Step 3: Cross multiply
    263,450x = 569,020 × 569,020
  4. Step 4: Simplify right side
    263,450x = 323,783,760,400
  5. Step 5: Solve for x
    x = 323,783,760,400/263,450
  6. Step 6: Final answer
    x = 1,229,014.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.