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Finding the Third Proportional to 302,922 and 470,350.50

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Solution

The third proportional to 302,922 and 470,350.50 is: 730,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,922 : 470,350.50 = 470,350.50 : x
  2. Step 2: Convert to fraction form
    302,922/470,350.50 = 470,350.50/x
  3. Step 3: Cross multiply
    302,922x = 470,350.50 × 470,350.50
  4. Step 4: Simplify right side
    302,922x = 221,229,592,850.25
  5. Step 5: Solve for x
    x = 221,229,592,850.25/302,922
  6. Step 6: Final answer
    x = 730,318.67

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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.