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Finding the Third Proportional to 569.53 and 1,190.53

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Solution

The third proportional to 569.53 and 1,190.53 is: 2,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.53 : 1,190.53 = 1,190.53 : x
  2. Step 2: Convert to fraction form
    569.53/1,190.53 = 1,190.53/x
  3. Step 3: Cross multiply
    569.53x = 1,190.53 × 1,190.53
  4. Step 4: Simplify right side
    569.53x = 1,417,364.66
  5. Step 5: Solve for x
    x = 1,417,364.66/569.53
  6. Step 6: Final answer
    x = 2,488.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.