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Finding the Third Proportional to 277,080 and 606,000

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Solution

The third proportional to 277,080 and 606,000 is: 1,325,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,080 : 606,000 = 606,000 : x
  2. Step 2: Convert to fraction form
    277,080/606,000 = 606,000/x
  3. Step 3: Cross multiply
    277,080x = 606,000 × 606,000
  4. Step 4: Simplify right side
    277,080x = 367,236,000,000
  5. Step 5: Solve for x
    x = 367,236,000,000/277,080
  6. Step 6: Final answer
    x = 1,325,378.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.