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Finding the Third Proportional to 189,583 and 438,893

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Solution

The third proportional to 189,583 and 438,893 is: 1,016,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,583 : 438,893 = 438,893 : x
  2. Step 2: Convert to fraction form
    189,583/438,893 = 438,893/x
  3. Step 3: Cross multiply
    189,583x = 438,893 × 438,893
  4. Step 4: Simplify right side
    189,583x = 192,627,065,449
  5. Step 5: Solve for x
    x = 192,627,065,449/189,583
  6. Step 6: Final answer
    x = 1,016,056.64

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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.