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Finding the Third Proportional to 302,813.50 and 470,212

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Solution

The third proportional to 302,813.50 and 470,212 is: 730,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,813.50 : 470,212 = 470,212 : x
  2. Step 2: Convert to fraction form
    302,813.50/470,212 = 470,212/x
  3. Step 3: Cross multiply
    302,813.50x = 470,212 × 470,212
  4. Step 4: Simplify right side
    302,813.50x = 221,099,324,944
  5. Step 5: Solve for x
    x = 221,099,324,944/302,813.50
  6. Step 6: Final answer
    x = 730,150.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.