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Finding the Third Proportional to 191,553.89 and 406,457.44

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Solution

The third proportional to 191,553.89 and 406,457.44 is: 862,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,553.89 : 406,457.44 = 406,457.44 : x
  2. Step 2: Convert to fraction form
    191,553.89/406,457.44 = 406,457.44/x
  3. Step 3: Cross multiply
    191,553.89x = 406,457.44 × 406,457.44
  4. Step 4: Simplify right side
    191,553.89x = 165,207,648,499.07
  5. Step 5: Solve for x
    x = 165,207,648,499.07/191,553.89
  6. Step 6: Final answer
    x = 862,460.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.