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Finding the Third Proportional to 263,522 and 585,992

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Solution

The third proportional to 263,522 and 585,992 is: 1,303,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,522 : 585,992 = 585,992 : x
  2. Step 2: Convert to fraction form
    263,522/585,992 = 585,992/x
  3. Step 3: Cross multiply
    263,522x = 585,992 × 585,992
  4. Step 4: Simplify right side
    263,522x = 343,386,624,064
  5. Step 5: Solve for x
    x = 343,386,624,064/263,522
  6. Step 6: Final answer
    x = 1,303,066.25

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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.