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Finding the Third Proportional to 311,949 and 495,868.50

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Solution

The third proportional to 311,949 and 495,868.50 is: 788,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,949 : 495,868.50 = 495,868.50 : x
  2. Step 2: Convert to fraction form
    311,949/495,868.50 = 495,868.50/x
  3. Step 3: Cross multiply
    311,949x = 495,868.50 × 495,868.50
  4. Step 4: Simplify right side
    311,949x = 245,885,569,292.25
  5. Step 5: Solve for x
    x = 245,885,569,292.25/311,949
  6. Step 6: Final answer
    x = 788,223.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.