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Finding the Third Proportional to 430.75 and 962.75

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Solution

The third proportional to 430.75 and 962.75 is: 2,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.75 : 962.75 = 962.75 : x
  2. Step 2: Convert to fraction form
    430.75/962.75 = 962.75/x
  3. Step 3: Cross multiply
    430.75x = 962.75 × 962.75
  4. Step 4: Simplify right side
    430.75x = 926,887.56
  5. Step 5: Solve for x
    x = 926,887.56/430.75
  6. Step 6: Final answer
    x = 2,151.80

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.