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Finding the Third Proportional to 230,260 and 495,512

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Solution

The third proportional to 230,260 and 495,512 is: 1,066,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,260 : 495,512 = 495,512 : x
  2. Step 2: Convert to fraction form
    230,260/495,512 = 495,512/x
  3. Step 3: Cross multiply
    230,260x = 495,512 × 495,512
  4. Step 4: Simplify right side
    230,260x = 245,532,142,144
  5. Step 5: Solve for x
    x = 245,532,142,144/230,260
  6. Step 6: Final answer
    x = 1,066,325.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.