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Finding the Third Proportional to 451,488 and 675,021

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Solution

The third proportional to 451,488 and 675,021 is: 1,009,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,488 : 675,021 = 675,021 : x
  2. Step 2: Convert to fraction form
    451,488/675,021 = 675,021/x
  3. Step 3: Cross multiply
    451,488x = 675,021 × 675,021
  4. Step 4: Simplify right side
    451,488x = 455,653,350,441
  5. Step 5: Solve for x
    x = 455,653,350,441/451,488
  6. Step 6: Final answer
    x = 1,009,225.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.