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Finding the Third Proportional to 304,103 and 438,051

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Solution

The third proportional to 304,103 and 438,051 is: 630,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,103 : 438,051 = 438,051 : x
  2. Step 2: Convert to fraction form
    304,103/438,051 = 438,051/x
  3. Step 3: Cross multiply
    304,103x = 438,051 × 438,051
  4. Step 4: Simplify right side
    304,103x = 191,888,678,601
  5. Step 5: Solve for x
    x = 191,888,678,601/304,103
  6. Step 6: Final answer
    x = 630,998.97

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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.