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Finding the Third Proportional to 191,276 and 417,544

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Solution

The third proportional to 191,276 and 417,544 is: 911,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,276 : 417,544 = 417,544 : x
  2. Step 2: Convert to fraction form
    191,276/417,544 = 417,544/x
  3. Step 3: Cross multiply
    191,276x = 417,544 × 417,544
  4. Step 4: Simplify right side
    191,276x = 174,342,991,936
  5. Step 5: Solve for x
    x = 174,342,991,936/191,276
  6. Step 6: Final answer
    x = 911,473.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.