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Finding the Third Proportional to 207,890 and 440,319

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Solution

The third proportional to 207,890 and 440,319 is: 932,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,890 : 440,319 = 440,319 : x
  2. Step 2: Convert to fraction form
    207,890/440,319 = 440,319/x
  3. Step 3: Cross multiply
    207,890x = 440,319 × 440,319
  4. Step 4: Simplify right side
    207,890x = 193,880,821,761
  5. Step 5: Solve for x
    x = 193,880,821,761/207,890
  6. Step 6: Final answer
    x = 932,612.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.