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Finding the Third Proportional to 304,105 and 438,052

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Solution

The third proportional to 304,105 and 438,052 is: 630,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,105 : 438,052 = 438,052 : x
  2. Step 2: Convert to fraction form
    304,105/438,052 = 438,052/x
  3. Step 3: Cross multiply
    304,105x = 438,052 × 438,052
  4. Step 4: Simplify right side
    304,105x = 191,889,554,704
  5. Step 5: Solve for x
    x = 191,889,554,704/304,105
  6. Step 6: Final answer
    x = 630,997.70

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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.