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Finding the Third Proportional to 191,274 and 411,816

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Solution

The third proportional to 191,274 and 411,816 is: 886,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,274 : 411,816 = 411,816 : x
  2. Step 2: Convert to fraction form
    191,274/411,816 = 411,816/x
  3. Step 3: Cross multiply
    191,274x = 411,816 × 411,816
  4. Step 4: Simplify right side
    191,274x = 169,592,417,856
  5. Step 5: Solve for x
    x = 169,592,417,856/191,274
  6. Step 6: Final answer
    x = 886,646.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.