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Finding the Third Proportional to 281,992 and 436,854

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Solution

The third proportional to 281,992 and 436,854 is: 676,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,992 : 436,854 = 436,854 : x
  2. Step 2: Convert to fraction form
    281,992/436,854 = 436,854/x
  3. Step 3: Cross multiply
    281,992x = 436,854 × 436,854
  4. Step 4: Simplify right side
    281,992x = 190,841,417,316
  5. Step 5: Solve for x
    x = 190,841,417,316/281,992
  6. Step 6: Final answer
    x = 676,761.81

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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.