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Finding the Third Proportional to 285,872 and 431,720

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Solution

The third proportional to 285,872 and 431,720 is: 651,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,872 : 431,720 = 431,720 : x
  2. Step 2: Convert to fraction form
    285,872/431,720 = 431,720/x
  3. Step 3: Cross multiply
    285,872x = 431,720 × 431,720
  4. Step 4: Simplify right side
    285,872x = 186,382,158,400
  5. Step 5: Solve for x
    x = 186,382,158,400/285,872
  6. Step 6: Final answer
    x = 651,977.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.