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Finding the Third Proportional to 299,635.50 and 649,167

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Solution

The third proportional to 299,635.50 and 649,167 is: 1,406,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,635.50 : 649,167 = 649,167 : x
  2. Step 2: Convert to fraction form
    299,635.50/649,167 = 649,167/x
  3. Step 3: Cross multiply
    299,635.50x = 649,167 × 649,167
  4. Step 4: Simplify right side
    299,635.50x = 421,417,793,889
  5. Step 5: Solve for x
    x = 421,417,793,889/299,635.50
  6. Step 6: Final answer
    x = 1,406,434.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.