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Finding the Third Proportional to 196,554 and 408,657

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Solution

The third proportional to 196,554 and 408,657 is: 849,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,554 : 408,657 = 408,657 : x
  2. Step 2: Convert to fraction form
    196,554/408,657 = 408,657/x
  3. Step 3: Cross multiply
    196,554x = 408,657 × 408,657
  4. Step 4: Simplify right side
    196,554x = 167,000,543,649
  5. Step 5: Solve for x
    x = 167,000,543,649/196,554
  6. Step 6: Final answer
    x = 849,642.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.