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Finding the Third Proportional to 328,832 and 492,348

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Solution

The third proportional to 328,832 and 492,348 is: 737,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,832 : 492,348 = 492,348 : x
  2. Step 2: Convert to fraction form
    328,832/492,348 = 492,348/x
  3. Step 3: Cross multiply
    328,832x = 492,348 × 492,348
  4. Step 4: Simplify right side
    328,832x = 242,406,553,104
  5. Step 5: Solve for x
    x = 242,406,553,104/328,832
  6. Step 6: Final answer
    x = 737,174.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.