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Finding the Third Proportional to 368,595 and 556,274

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Solution

The third proportional to 368,595 and 556,274 is: 839,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,595 : 556,274 = 556,274 : x
  2. Step 2: Convert to fraction form
    368,595/556,274 = 556,274/x
  3. Step 3: Cross multiply
    368,595x = 556,274 × 556,274
  4. Step 4: Simplify right side
    368,595x = 309,440,763,076
  5. Step 5: Solve for x
    x = 309,440,763,076/368,595
  6. Step 6: Final answer
    x = 839,514.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.