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Finding the Third Proportional to 228,503 and 495,141

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Solution

The third proportional to 228,503 and 495,141 is: 1,072,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,503 : 495,141 = 495,141 : x
  2. Step 2: Convert to fraction form
    228,503/495,141 = 495,141/x
  3. Step 3: Cross multiply
    228,503x = 495,141 × 495,141
  4. Step 4: Simplify right side
    228,503x = 245,164,609,881
  5. Step 5: Solve for x
    x = 245,164,609,881/228,503
  6. Step 6: Final answer
    x = 1,072,916.37

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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.