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Finding the Third Proportional to 750.56 and 1,199.06

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Solution

The third proportional to 750.56 and 1,199.06 is: 1,915.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.56 : 1,199.06 = 1,199.06 : x
  2. Step 2: Convert to fraction form
    750.56/1,199.06 = 1,199.06/x
  3. Step 3: Cross multiply
    750.56x = 1,199.06 × 1,199.06
  4. Step 4: Simplify right side
    750.56x = 1,437,750.88
  5. Step 5: Solve for x
    x = 1,437,750.88/750.56
  6. Step 6: Final answer
    x = 1,915.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.