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Finding the Third Proportional to 328,144 and 483,000

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Solution

The third proportional to 328,144 and 483,000 is: 710,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,144 : 483,000 = 483,000 : x
  2. Step 2: Convert to fraction form
    328,144/483,000 = 483,000/x
  3. Step 3: Cross multiply
    328,144x = 483,000 × 483,000
  4. Step 4: Simplify right side
    328,144x = 233,289,000,000
  5. Step 5: Solve for x
    x = 233,289,000,000/328,144
  6. Step 6: Final answer
    x = 710,934.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.