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Finding the Third Proportional to 856.69 and 1,224.84

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Solution

The third proportional to 856.69 and 1,224.84 is: 1,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.69 : 1,224.84 = 1,224.84 : x
  2. Step 2: Convert to fraction form
    856.69/1,224.84 = 1,224.84/x
  3. Step 3: Cross multiply
    856.69x = 1,224.84 × 1,224.84
  4. Step 4: Simplify right side
    856.69x = 1,500,242.21
  5. Step 5: Solve for x
    x = 1,500,242.21/856.69
  6. Step 6: Final answer
    x = 1,751.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.