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Finding the Third Proportional to 367,384 and 556,612

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Solution

The third proportional to 367,384 and 556,612 is: 843,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,384 : 556,612 = 556,612 : x
  2. Step 2: Convert to fraction form
    367,384/556,612 = 556,612/x
  3. Step 3: Cross multiply
    367,384x = 556,612 × 556,612
  4. Step 4: Simplify right side
    367,384x = 309,816,918,544
  5. Step 5: Solve for x
    x = 309,816,918,544/367,384
  6. Step 6: Final answer
    x = 843,305.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.