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Finding the Third Proportional to 430.25 and 655.75

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Solution

The third proportional to 430.25 and 655.75 is: 999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.25 : 655.75 = 655.75 : x
  2. Step 2: Convert to fraction form
    430.25/655.75 = 655.75/x
  3. Step 3: Cross multiply
    430.25x = 655.75 × 655.75
  4. Step 4: Simplify right side
    430.25x = 430,008.06
  5. Step 5: Solve for x
    x = 430,008.06/430.25
  6. Step 6: Final answer
    x = 999.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.