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Finding the Third Proportional to 277,530 and 590,538

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Solution

The third proportional to 277,530 and 590,538 is: 1,256,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,530 : 590,538 = 590,538 : x
  2. Step 2: Convert to fraction form
    277,530/590,538 = 590,538/x
  3. Step 3: Cross multiply
    277,530x = 590,538 × 590,538
  4. Step 4: Simplify right side
    277,530x = 348,735,129,444
  5. Step 5: Solve for x
    x = 348,735,129,444/277,530
  6. Step 6: Final answer
    x = 1,256,567.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.