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Finding the Third Proportional to 555.19 and 1,196.86

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Solution

The third proportional to 555.19 and 1,196.86 is: 2,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.19 : 1,196.86 = 1,196.86 : x
  2. Step 2: Convert to fraction form
    555.19/1,196.86 = 1,196.86/x
  3. Step 3: Cross multiply
    555.19x = 1,196.86 × 1,196.86
  4. Step 4: Simplify right side
    555.19x = 1,432,472.36
  5. Step 5: Solve for x
    x = 1,432,472.36/555.19
  6. Step 6: Final answer
    x = 2,580.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.