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Finding the Third Proportional to 191,581 and 416,323

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Solution

The third proportional to 191,581 and 416,323 is: 904,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,581 : 416,323 = 416,323 : x
  2. Step 2: Convert to fraction form
    191,581/416,323 = 416,323/x
  3. Step 3: Cross multiply
    191,581x = 416,323 × 416,323
  4. Step 4: Simplify right side
    191,581x = 173,324,840,329
  5. Step 5: Solve for x
    x = 173,324,840,329/191,581
  6. Step 6: Final answer
    x = 904,707.88

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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.