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Finding the Third Proportional to 569.75 and 1,313.75

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Solution

The third proportional to 569.75 and 1,313.75 is: 3,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.75 : 1,313.75 = 1,313.75 : x
  2. Step 2: Convert to fraction form
    569.75/1,313.75 = 1,313.75/x
  3. Step 3: Cross multiply
    569.75x = 1,313.75 × 1,313.75
  4. Step 4: Simplify right side
    569.75x = 1,725,939.06
  5. Step 5: Solve for x
    x = 1,725,939.06/569.75
  6. Step 6: Final answer
    x = 3,029.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.