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Finding the Third Proportional to 846.56 and 1,330.03

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Solution

The third proportional to 846.56 and 1,330.03 is: 2,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.56 : 1,330.03 = 1,330.03 : x
  2. Step 2: Convert to fraction form
    846.56/1,330.03 = 1,330.03/x
  3. Step 3: Cross multiply
    846.56x = 1,330.03 × 1,330.03
  4. Step 4: Simplify right side
    846.56x = 1,768,983.13
  5. Step 5: Solve for x
    x = 1,768,983.13/846.56
  6. Step 6: Final answer
    x = 2,089.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.