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Finding the Third Proportional to 263,500 and 585,952

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Solution

The third proportional to 263,500 and 585,952 is: 1,302,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,500 : 585,952 = 585,952 : x
  2. Step 2: Convert to fraction form
    263,500/585,952 = 585,952/x
  3. Step 3: Cross multiply
    263,500x = 585,952 × 585,952
  4. Step 4: Simplify right side
    263,500x = 343,339,746,304
  5. Step 5: Solve for x
    x = 343,339,746,304/263,500
  6. Step 6: Final answer
    x = 1,302,997.14

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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.