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Finding the Third Proportional to 268,533 and 585,000

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Solution

The third proportional to 268,533 and 585,000 is: 1,274,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,533 : 585,000 = 585,000 : x
  2. Step 2: Convert to fraction form
    268,533/585,000 = 585,000/x
  3. Step 3: Cross multiply
    268,533x = 585,000 × 585,000
  4. Step 4: Simplify right side
    268,533x = 342,225,000,000
  5. Step 5: Solve for x
    x = 342,225,000,000/268,533
  6. Step 6: Final answer
    x = 1,274,424.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.