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Finding the Third Proportional to 309,595 and 472,400

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Solution

The third proportional to 309,595 and 472,400 is: 720,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,595 : 472,400 = 472,400 : x
  2. Step 2: Convert to fraction form
    309,595/472,400 = 472,400/x
  3. Step 3: Cross multiply
    309,595x = 472,400 × 472,400
  4. Step 4: Simplify right side
    309,595x = 223,161,760,000
  5. Step 5: Solve for x
    x = 223,161,760,000/309,595
  6. Step 6: Final answer
    x = 720,818.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.