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Finding the Third Proportional to 436,532 and 672,819

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Solution

The third proportional to 436,532 and 672,819 is: 1,037,003.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,532 : 672,819 = 672,819 : x
  2. Step 2: Convert to fraction form
    436,532/672,819 = 672,819/x
  3. Step 3: Cross multiply
    436,532x = 672,819 × 672,819
  4. Step 4: Simplify right side
    436,532x = 452,685,406,761
  5. Step 5: Solve for x
    x = 452,685,406,761/436,532
  6. Step 6: Final answer
    x = 1,037,003.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.