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Finding the Third Proportional to 262,324.50 and 384,879

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Solution

The third proportional to 262,324.50 and 384,879 is: 564,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,324.50 : 384,879 = 384,879 : x
  2. Step 2: Convert to fraction form
    262,324.50/384,879 = 384,879/x
  3. Step 3: Cross multiply
    262,324.50x = 384,879 × 384,879
  4. Step 4: Simplify right side
    262,324.50x = 148,131,844,641
  5. Step 5: Solve for x
    x = 148,131,844,641/262,324.50
  6. Step 6: Final answer
    x = 564,689.32

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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.