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Finding the Third Proportional to 560.81 and 1,182.94

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Solution

The third proportional to 560.81 and 1,182.94 is: 2,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.81 : 1,182.94 = 1,182.94 : x
  2. Step 2: Convert to fraction form
    560.81/1,182.94 = 1,182.94/x
  3. Step 3: Cross multiply
    560.81x = 1,182.94 × 1,182.94
  4. Step 4: Simplify right side
    560.81x = 1,399,341.13
  5. Step 5: Solve for x
    x = 1,399,341.13/560.81
  6. Step 6: Final answer
    x = 2,495.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.