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Finding the Third Proportional to 270,076 and 582,021

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Solution

The third proportional to 270,076 and 582,021 is: 1,254,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,076 : 582,021 = 582,021 : x
  2. Step 2: Convert to fraction form
    270,076/582,021 = 582,021/x
  3. Step 3: Cross multiply
    270,076x = 582,021 × 582,021
  4. Step 4: Simplify right side
    270,076x = 338,748,444,441
  5. Step 5: Solve for x
    x = 338,748,444,441/270,076
  6. Step 6: Final answer
    x = 1,254,270.81

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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.