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Finding the Third Proportional to 189,398 and 408,841

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Solution

The third proportional to 189,398 and 408,841 is: 882,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,398 : 408,841 = 408,841 : x
  2. Step 2: Convert to fraction form
    189,398/408,841 = 408,841/x
  3. Step 3: Cross multiply
    189,398x = 408,841 × 408,841
  4. Step 4: Simplify right side
    189,398x = 167,150,963,281
  5. Step 5: Solve for x
    x = 167,150,963,281/189,398
  6. Step 6: Final answer
    x = 882,538.16

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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.