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Finding the Third Proportional to 189,393 and 408,829

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Solution

The third proportional to 189,393 and 408,829 is: 882,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,393 : 408,829 = 408,829 : x
  2. Step 2: Convert to fraction form
    189,393/408,829 = 408,829/x
  3. Step 3: Cross multiply
    189,393x = 408,829 × 408,829
  4. Step 4: Simplify right side
    189,393x = 167,141,151,241
  5. Step 5: Solve for x
    x = 167,141,151,241/189,393
  6. Step 6: Final answer
    x = 882,509.66

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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.