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Finding the Third Proportional to 400,958.25 and 529,995

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Solution

The third proportional to 400,958.25 and 529,995 is: 700,558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,958.25 : 529,995 = 529,995 : x
  2. Step 2: Convert to fraction form
    400,958.25/529,995 = 529,995/x
  3. Step 3: Cross multiply
    400,958.25x = 529,995 × 529,995
  4. Step 4: Simplify right side
    400,958.25x = 280,894,700,025
  5. Step 5: Solve for x
    x = 280,894,700,025/400,958.25
  6. Step 6: Final answer
    x = 700,558.47

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.