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Finding the Third Proportional to 277,134 and 592,176

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Solution

The third proportional to 277,134 and 592,176 is: 1,265,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,134 : 592,176 = 592,176 : x
  2. Step 2: Convert to fraction form
    277,134/592,176 = 592,176/x
  3. Step 3: Cross multiply
    277,134x = 592,176 × 592,176
  4. Step 4: Simplify right side
    277,134x = 350,672,414,976
  5. Step 5: Solve for x
    x = 350,672,414,976/277,134
  6. Step 6: Final answer
    x = 1,265,353.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.