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Finding the Third Proportional to 560.99 and 1,224.49

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Solution

The third proportional to 560.99 and 1,224.49 is: 2,672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.99 : 1,224.49 = 1,224.49 : x
  2. Step 2: Convert to fraction form
    560.99/1,224.49 = 1,224.49/x
  3. Step 3: Cross multiply
    560.99x = 1,224.49 × 1,224.49
  4. Step 4: Simplify right side
    560.99x = 1,499,381.12
  5. Step 5: Solve for x
    x = 1,499,381.12/560.99
  6. Step 6: Final answer
    x = 2,672.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.