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Finding the Third Proportional to 185,411 and 431,330

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Solution

The third proportional to 185,411 and 431,330 is: 1,003,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,411 : 431,330 = 431,330 : x
  2. Step 2: Convert to fraction form
    185,411/431,330 = 431,330/x
  3. Step 3: Cross multiply
    185,411x = 431,330 × 431,330
  4. Step 4: Simplify right side
    185,411x = 186,045,568,900
  5. Step 5: Solve for x
    x = 186,045,568,900/185,411
  6. Step 6: Final answer
    x = 1,003,422.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.