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Finding the Third Proportional to 262,674.14 and 384,643.37

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Solution

The third proportional to 262,674.14 and 384,643.37 is: 563,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,674.14 : 384,643.37 = 384,643.37 : x
  2. Step 2: Convert to fraction form
    262,674.14/384,643.37 = 384,643.37/x
  3. Step 3: Cross multiply
    262,674.14x = 384,643.37 × 384,643.37
  4. Step 4: Simplify right side
    262,674.14x = 147,950,522,926.36
  5. Step 5: Solve for x
    x = 147,950,522,926.36/262,674.14
  6. Step 6: Final answer
    x = 563,247.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.