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Finding the Third Proportional to 219,291 and 480,462

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Solution

The third proportional to 219,291 and 480,462 is: 1,052,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,291 : 480,462 = 480,462 : x
  2. Step 2: Convert to fraction form
    219,291/480,462 = 480,462/x
  3. Step 3: Cross multiply
    219,291x = 480,462 × 480,462
  4. Step 4: Simplify right side
    219,291x = 230,843,733,444
  5. Step 5: Solve for x
    x = 230,843,733,444/219,291
  6. Step 6: Final answer
    x = 1,052,682.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.