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Finding the Third Proportional to 569.81 and 1,226.81

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Solution

The third proportional to 569.81 and 1,226.81 is: 2,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.81 : 1,226.81 = 1,226.81 : x
  2. Step 2: Convert to fraction form
    569.81/1,226.81 = 1,226.81/x
  3. Step 3: Cross multiply
    569.81x = 1,226.81 × 1,226.81
  4. Step 4: Simplify right side
    569.81x = 1,505,068.91
  5. Step 5: Solve for x
    x = 1,505,068.91/569.81
  6. Step 6: Final answer
    x = 2,641.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.