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Finding the Third Proportional to 263,108 and 570,568

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Solution

The third proportional to 263,108 and 570,568 is: 1,237,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,108 : 570,568 = 570,568 : x
  2. Step 2: Convert to fraction form
    263,108/570,568 = 570,568/x
  3. Step 3: Cross multiply
    263,108x = 570,568 × 570,568
  4. Step 4: Simplify right side
    263,108x = 325,547,842,624
  5. Step 5: Solve for x
    x = 325,547,842,624/263,108
  6. Step 6: Final answer
    x = 1,237,316.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.