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Finding the Third Proportional to 277,036 and 606,619

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Solution

The third proportional to 277,036 and 606,619 is: 1,328,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,036 : 606,619 = 606,619 : x
  2. Step 2: Convert to fraction form
    277,036/606,619 = 606,619/x
  3. Step 3: Cross multiply
    277,036x = 606,619 × 606,619
  4. Step 4: Simplify right side
    277,036x = 367,986,611,161
  5. Step 5: Solve for x
    x = 367,986,611,161/277,036
  6. Step 6: Final answer
    x = 1,328,298.89

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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.