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Finding the Third Proportional to 270,084 and 582,033

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Solution

The third proportional to 270,084 and 582,033 is: 1,254,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,084 : 582,033 = 582,033 : x
  2. Step 2: Convert to fraction form
    270,084/582,033 = 582,033/x
  3. Step 3: Cross multiply
    270,084x = 582,033 × 582,033
  4. Step 4: Simplify right side
    270,084x = 338,762,413,089
  5. Step 5: Solve for x
    x = 338,762,413,089/270,084
  6. Step 6: Final answer
    x = 1,254,285.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.