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Finding the Third Proportional to 561.70 and 1,184.54

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Solution

The third proportional to 561.70 and 1,184.54 is: 2,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.70 : 1,184.54 = 1,184.54 : x
  2. Step 2: Convert to fraction form
    561.70/1,184.54 = 1,184.54/x
  3. Step 3: Cross multiply
    561.70x = 1,184.54 × 1,184.54
  4. Step 4: Simplify right side
    561.70x = 1,403,125.56
  5. Step 5: Solve for x
    x = 1,403,125.56/561.70
  6. Step 6: Final answer
    x = 2,498.00

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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.