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Finding the Third Proportional to 307,048 and 468,000

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Solution

The third proportional to 307,048 and 468,000 is: 713,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,048 : 468,000 = 468,000 : x
  2. Step 2: Convert to fraction form
    307,048/468,000 = 468,000/x
  3. Step 3: Cross multiply
    307,048x = 468,000 × 468,000
  4. Step 4: Simplify right side
    307,048x = 219,024,000,000
  5. Step 5: Solve for x
    x = 219,024,000,000/307,048
  6. Step 6: Final answer
    x = 713,321.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.