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Finding the Third Proportional to 191,024 and 449,336

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Solution

The third proportional to 191,024 and 449,336 is: 1,056,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,024 : 449,336 = 449,336 : x
  2. Step 2: Convert to fraction form
    191,024/449,336 = 449,336/x
  3. Step 3: Cross multiply
    191,024x = 449,336 × 449,336
  4. Step 4: Simplify right side
    191,024x = 201,902,840,896
  5. Step 5: Solve for x
    x = 201,902,840,896/191,024
  6. Step 6: Final answer
    x = 1,056,950.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.