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Finding the Third Proportional to 281,166 and 585,664

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Solution

The third proportional to 281,166 and 585,664 is: 1,219,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,166 : 585,664 = 585,664 : x
  2. Step 2: Convert to fraction form
    281,166/585,664 = 585,664/x
  3. Step 3: Cross multiply
    281,166x = 585,664 × 585,664
  4. Step 4: Simplify right side
    281,166x = 343,002,320,896
  5. Step 5: Solve for x
    x = 343,002,320,896/281,166
  6. Step 6: Final answer
    x = 1,219,928.16

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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.