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Finding the Third Proportional to 281,306 and 585,927

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Solution

The third proportional to 281,306 and 585,927 is: 1,220,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,306 : 585,927 = 585,927 : x
  2. Step 2: Convert to fraction form
    281,306/585,927 = 585,927/x
  3. Step 3: Cross multiply
    281,306x = 585,927 × 585,927
  4. Step 4: Simplify right side
    281,306x = 343,310,449,329
  5. Step 5: Solve for x
    x = 343,310,449,329/281,306
  6. Step 6: Final answer
    x = 1,220,416.38

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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.