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Finding the Third Proportional to 193,476 and 406,536

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Solution

The third proportional to 193,476 and 406,536 is: 854,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,476 : 406,536 = 406,536 : x
  2. Step 2: Convert to fraction form
    193,476/406,536 = 406,536/x
  3. Step 3: Cross multiply
    193,476x = 406,536 × 406,536
  4. Step 4: Simplify right side
    193,476x = 165,271,519,296
  5. Step 5: Solve for x
    x = 165,271,519,296/193,476
  6. Step 6: Final answer
    x = 854,222.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.