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Finding the Third Proportional to 189,581 and 438,888

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Solution

The third proportional to 189,581 and 438,888 is: 1,016,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,581 : 438,888 = 438,888 : x
  2. Step 2: Convert to fraction form
    189,581/438,888 = 438,888/x
  3. Step 3: Cross multiply
    189,581x = 438,888 × 438,888
  4. Step 4: Simplify right side
    189,581x = 192,622,676,544
  5. Step 5: Solve for x
    x = 192,622,676,544/189,581
  6. Step 6: Final answer
    x = 1,016,044.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.