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Finding the Third Proportional to 189,580 and 438,886

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Solution

The third proportional to 189,580 and 438,886 is: 1,016,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,580 : 438,886 = 438,886 : x
  2. Step 2: Convert to fraction form
    189,580/438,886 = 438,886/x
  3. Step 3: Cross multiply
    189,580x = 438,886 × 438,886
  4. Step 4: Simplify right side
    189,580x = 192,620,920,996
  5. Step 5: Solve for x
    x = 192,620,920,996/189,580
  6. Step 6: Final answer
    x = 1,016,040.30

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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.