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Finding the Third Proportional to 304,104 and 438,054

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Solution

The third proportional to 304,104 and 438,054 is: 631,005.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,104 : 438,054 = 438,054 : x
  2. Step 2: Convert to fraction form
    304,104/438,054 = 438,054/x
  3. Step 3: Cross multiply
    304,104x = 438,054 × 438,054
  4. Step 4: Simplify right side
    304,104x = 191,891,306,916
  5. Step 5: Solve for x
    x = 191,891,306,916/304,104
  6. Step 6: Final answer
    x = 631,005.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.