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Finding the Third Proportional to 217,123 and 478,419.50

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Solution

The third proportional to 217,123 and 478,419.50 is: 1,054,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,123 : 478,419.50 = 478,419.50 : x
  2. Step 2: Convert to fraction form
    217,123/478,419.50 = 478,419.50/x
  3. Step 3: Cross multiply
    217,123x = 478,419.50 × 478,419.50
  4. Step 4: Simplify right side
    217,123x = 228,885,217,980.25
  5. Step 5: Solve for x
    x = 228,885,217,980.25/217,123
  6. Step 6: Final answer
    x = 1,054,173.06

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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.