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Finding the Third Proportional to 304,033.50 and 421,240.50

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Solution

The third proportional to 304,033.50 and 421,240.50 is: 583,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,033.50 : 421,240.50 = 421,240.50 : x
  2. Step 2: Convert to fraction form
    304,033.50/421,240.50 = 421,240.50/x
  3. Step 3: Cross multiply
    304,033.50x = 421,240.50 × 421,240.50
  4. Step 4: Simplify right side
    304,033.50x = 177,443,558,840.25
  5. Step 5: Solve for x
    x = 177,443,558,840.25/304,033.50
  6. Step 6: Final answer
    x = 583,631.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.