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Finding the Third Proportional to 228,477 and 495,087

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Solution

The third proportional to 228,477 and 495,087 is: 1,072,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,477 : 495,087 = 495,087 : x
  2. Step 2: Convert to fraction form
    228,477/495,087 = 495,087/x
  3. Step 3: Cross multiply
    228,477x = 495,087 × 495,087
  4. Step 4: Simplify right side
    228,477x = 245,111,137,569
  5. Step 5: Solve for x
    x = 245,111,137,569/228,477
  6. Step 6: Final answer
    x = 1,072,804.43

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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.