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Finding the Third Proportional to 281,970 and 431,884

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Solution

The third proportional to 281,970 and 431,884 is: 661,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,970 : 431,884 = 431,884 : x
  2. Step 2: Convert to fraction form
    281,970/431,884 = 431,884/x
  3. Step 3: Cross multiply
    281,970x = 431,884 × 431,884
  4. Step 4: Simplify right side
    281,970x = 186,523,789,456
  5. Step 5: Solve for x
    x = 186,523,789,456/281,970
  6. Step 6: Final answer
    x = 661,502.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.