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Finding the Third Proportional to 308,768 and 462,000

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Solution

The third proportional to 308,768 and 462,000 is: 691,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,768 : 462,000 = 462,000 : x
  2. Step 2: Convert to fraction form
    308,768/462,000 = 462,000/x
  3. Step 3: Cross multiply
    308,768x = 462,000 × 462,000
  4. Step 4: Simplify right side
    308,768x = 213,444,000,000
  5. Step 5: Solve for x
    x = 213,444,000,000/308,768
  6. Step 6: Final answer
    x = 691,276.30

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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.