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Finding the Third Proportional to 228,326 and 495,196

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Solution

The third proportional to 228,326 and 495,196 is: 1,073,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,326 : 495,196 = 495,196 : x
  2. Step 2: Convert to fraction form
    228,326/495,196 = 495,196/x
  3. Step 3: Cross multiply
    228,326x = 495,196 × 495,196
  4. Step 4: Simplify right side
    228,326x = 245,219,078,416
  5. Step 5: Solve for x
    x = 245,219,078,416/228,326
  6. Step 6: Final answer
    x = 1,073,986.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.