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Finding the Third Proportional to 328,794 and 482,820

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Solution

The third proportional to 328,794 and 482,820 is: 709,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,794 : 482,820 = 482,820 : x
  2. Step 2: Convert to fraction form
    328,794/482,820 = 482,820/x
  3. Step 3: Cross multiply
    328,794x = 482,820 × 482,820
  4. Step 4: Simplify right side
    328,794x = 233,115,152,400
  5. Step 5: Solve for x
    x = 233,115,152,400/328,794
  6. Step 6: Final answer
    x = 709,000.63

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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.