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Finding the Third Proportional to 277,029 and 606,606

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Solution

The third proportional to 277,029 and 606,606 is: 1,328,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,029 : 606,606 = 606,606 : x
  2. Step 2: Convert to fraction form
    277,029/606,606 = 606,606/x
  3. Step 3: Cross multiply
    277,029x = 606,606 × 606,606
  4. Step 4: Simplify right side
    277,029x = 367,970,839,236
  5. Step 5: Solve for x
    x = 367,970,839,236/277,029
  6. Step 6: Final answer
    x = 1,328,275.52

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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.