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Finding the Third Proportional to 281,775 and 586,824

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Solution

The third proportional to 281,775 and 586,824 is: 1,222,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,775 : 586,824 = 586,824 : x
  2. Step 2: Convert to fraction form
    281,775/586,824 = 586,824/x
  3. Step 3: Cross multiply
    281,775x = 586,824 × 586,824
  4. Step 4: Simplify right side
    281,775x = 344,362,406,976
  5. Step 5: Solve for x
    x = 344,362,406,976/281,775
  6. Step 6: Final answer
    x = 1,222,118.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.