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Finding the Third Proportional to 277,532 and 606,424

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Solution

The third proportional to 277,532 and 606,424 is: 1,325,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,532 : 606,424 = 606,424 : x
  2. Step 2: Convert to fraction form
    277,532/606,424 = 606,424/x
  3. Step 3: Cross multiply
    277,532x = 606,424 × 606,424
  4. Step 4: Simplify right side
    277,532x = 367,750,067,776
  5. Step 5: Solve for x
    x = 367,750,067,776/277,532
  6. Step 6: Final answer
    x = 1,325,072.67

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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.