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Finding the Third Proportional to 248,889 and 585,042

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Solution

The third proportional to 248,889 and 585,042 is: 1,375,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,889 : 585,042 = 585,042 : x
  2. Step 2: Convert to fraction form
    248,889/585,042 = 585,042/x
  3. Step 3: Cross multiply
    248,889x = 585,042 × 585,042
  4. Step 4: Simplify right side
    248,889x = 342,274,141,764
  5. Step 5: Solve for x
    x = 342,274,141,764/248,889
  6. Step 6: Final answer
    x = 1,375,207.99

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.