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Finding the Third Proportional to 217,122.47 and 478,418.63

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Solution

The third proportional to 217,122.47 and 478,418.63 is: 1,054,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,122.47 : 478,418.63 = 478,418.63 : x
  2. Step 2: Convert to fraction form
    217,122.47/478,418.63 = 478,418.63/x
  3. Step 3: Cross multiply
    217,122.47x = 478,418.63 × 478,418.63
  4. Step 4: Simplify right side
    217,122.47x = 228,884,380,746.89
  5. Step 5: Solve for x
    x = 228,884,380,746.89/217,122.47
  6. Step 6: Final answer
    x = 1,054,171.79

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