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Finding the Third Proportional to 311,928 and 495,888

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Solution

The third proportional to 311,928 and 495,888 is: 788,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,928 : 495,888 = 495,888 : x
  2. Step 2: Convert to fraction form
    311,928/495,888 = 495,888/x
  3. Step 3: Cross multiply
    311,928x = 495,888 × 495,888
  4. Step 4: Simplify right side
    311,928x = 245,904,908,544
  5. Step 5: Solve for x
    x = 245,904,908,544/311,928
  6. Step 6: Final answer
    x = 788,338.68

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Why These Related Problems?

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