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Finding the Third Proportional to 244,620 and 495,813

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Solution

The third proportional to 244,620 and 495,813 is: 1,004,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,620 : 495,813 = 495,813 : x
  2. Step 2: Convert to fraction form
    244,620/495,813 = 495,813/x
  3. Step 3: Cross multiply
    244,620x = 495,813 × 495,813
  4. Step 4: Simplify right side
    244,620x = 245,830,530,969
  5. Step 5: Solve for x
    x = 245,830,530,969/244,620
  6. Step 6: Final answer
    x = 1,004,948.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.