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Finding the Third Proportional to 228,190 and 495,015

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Solution

The third proportional to 228,190 and 495,015 is: 1,073,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,190 : 495,015 = 495,015 : x
  2. Step 2: Convert to fraction form
    228,190/495,015 = 495,015/x
  3. Step 3: Cross multiply
    228,190x = 495,015 × 495,015
  4. Step 4: Simplify right side
    228,190x = 245,039,850,225
  5. Step 5: Solve for x
    x = 245,039,850,225/228,190
  6. Step 6: Final answer
    x = 1,073,841.32

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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.