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Finding the Third Proportional to 263,524 and 585,996

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Solution

The third proportional to 263,524 and 585,996 is: 1,303,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,524 : 585,996 = 585,996 : x
  2. Step 2: Convert to fraction form
    263,524/585,996 = 585,996/x
  3. Step 3: Cross multiply
    263,524x = 585,996 × 585,996
  4. Step 4: Simplify right side
    263,524x = 343,391,312,016
  5. Step 5: Solve for x
    x = 343,391,312,016/263,524
  6. Step 6: Final answer
    x = 1,303,074.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.