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Finding the Third Proportional to 277,195 and 363,984

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Solution

The third proportional to 277,195 and 363,984 is: 477,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,195 : 363,984 = 363,984 : x
  2. Step 2: Convert to fraction form
    277,195/363,984 = 363,984/x
  3. Step 3: Cross multiply
    277,195x = 363,984 × 363,984
  4. Step 4: Simplify right side
    277,195x = 132,484,352,256
  5. Step 5: Solve for x
    x = 132,484,352,256/277,195
  6. Step 6: Final answer
    x = 477,946.40

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.