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Finding the Third Proportional to 264,436.50 and 397,239

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Solution

The third proportional to 264,436.50 and 397,239 is: 596,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,436.50 : 397,239 = 397,239 : x
  2. Step 2: Convert to fraction form
    264,436.50/397,239 = 397,239/x
  3. Step 3: Cross multiply
    264,436.50x = 397,239 × 397,239
  4. Step 4: Simplify right side
    264,436.50x = 157,798,823,121
  5. Step 5: Solve for x
    x = 157,798,823,121/264,436.50
  6. Step 6: Final answer
    x = 596,736.17

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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.