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Finding the Third Proportional to 311,939 and 495,905.50

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Solution

The third proportional to 311,939 and 495,905.50 is: 788,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,939 : 495,905.50 = 495,905.50 : x
  2. Step 2: Convert to fraction form
    311,939/495,905.50 = 495,905.50/x
  3. Step 3: Cross multiply
    311,939x = 495,905.50 × 495,905.50
  4. Step 4: Simplify right side
    311,939x = 245,922,264,930.25
  5. Step 5: Solve for x
    x = 245,922,264,930.25/311,939
  6. Step 6: Final answer
    x = 788,366.52

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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.