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Finding the Third Proportional to 220,752 and 479,914

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Solution

The third proportional to 220,752 and 479,914 is: 1,043,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,752 : 479,914 = 479,914 : x
  2. Step 2: Convert to fraction form
    220,752/479,914 = 479,914/x
  3. Step 3: Cross multiply
    220,752x = 479,914 × 479,914
  4. Step 4: Simplify right side
    220,752x = 230,317,447,396
  5. Step 5: Solve for x
    x = 230,317,447,396/220,752
  6. Step 6: Final answer
    x = 1,043,331.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.