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Finding the Third Proportional to 189,888 and 410,784

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Solution

The third proportional to 189,888 and 410,784 is: 888,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,888 : 410,784 = 410,784 : x
  2. Step 2: Convert to fraction form
    189,888/410,784 = 410,784/x
  3. Step 3: Cross multiply
    189,888x = 410,784 × 410,784
  4. Step 4: Simplify right side
    189,888x = 168,743,494,656
  5. Step 5: Solve for x
    x = 168,743,494,656/189,888
  6. Step 6: Final answer
    x = 888,647.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.