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Finding the Third Proportional to 281,984 and 436,908

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Solution

The third proportional to 281,984 and 436,908 is: 676,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,984 : 436,908 = 436,908 : x
  2. Step 2: Convert to fraction form
    281,984/436,908 = 436,908/x
  3. Step 3: Cross multiply
    281,984x = 436,908 × 436,908
  4. Step 4: Simplify right side
    281,984x = 190,888,600,464
  5. Step 5: Solve for x
    x = 190,888,600,464/281,984
  6. Step 6: Final answer
    x = 676,948.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.