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Finding the Third Proportional to 216,518.06 and 475,477.59

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Solution

The third proportional to 216,518.06 and 475,477.59 is: 1,044,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,518.06 : 475,477.59 = 475,477.59 : x
  2. Step 2: Convert to fraction form
    216,518.06/475,477.59 = 475,477.59/x
  3. Step 3: Cross multiply
    216,518.06x = 475,477.59 × 475,477.59
  4. Step 4: Simplify right side
    216,518.06x = 226,078,942,158.29
  5. Step 5: Solve for x
    x = 226,078,942,158.29/216,518.06
  6. Step 6: Final answer
    x = 1,044,157.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.