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Finding the Third Proportional to 304,109 and 438,058

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Solution

The third proportional to 304,109 and 438,058 is: 631,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,109 : 438,058 = 438,058 : x
  2. Step 2: Convert to fraction form
    304,109/438,058 = 438,058/x
  3. Step 3: Cross multiply
    304,109x = 438,058 × 438,058
  4. Step 4: Simplify right side
    304,109x = 191,894,811,364
  5. Step 5: Solve for x
    x = 191,894,811,364/304,109
  6. Step 6: Final answer
    x = 631,006.68

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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.