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Finding the Third Proportional to 277,836 and 430,483

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Solution

The third proportional to 277,836 and 430,483 is: 666,996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,836 : 430,483 = 430,483 : x
  2. Step 2: Convert to fraction form
    277,836/430,483 = 430,483/x
  3. Step 3: Cross multiply
    277,836x = 430,483 × 430,483
  4. Step 4: Simplify right side
    277,836x = 185,315,613,289
  5. Step 5: Solve for x
    x = 185,315,613,289/277,836
  6. Step 6: Final answer
    x = 666,996.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.