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Finding the Third Proportional to 281,164 and 585,660

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Solution

The third proportional to 281,164 and 585,660 is: 1,219,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,164 : 585,660 = 585,660 : x
  2. Step 2: Convert to fraction form
    281,164/585,660 = 585,660/x
  3. Step 3: Cross multiply
    281,164x = 585,660 × 585,660
  4. Step 4: Simplify right side
    281,164x = 342,997,635,600
  5. Step 5: Solve for x
    x = 342,997,635,600/281,164
  6. Step 6: Final answer
    x = 1,219,920.17

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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.