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Finding the Third Proportional to 433,223 and 669,503.50

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Solution

The third proportional to 433,223 and 669,503.50 is: 1,034,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,223 : 669,503.50 = 669,503.50 : x
  2. Step 2: Convert to fraction form
    433,223/669,503.50 = 669,503.50/x
  3. Step 3: Cross multiply
    433,223x = 669,503.50 × 669,503.50
  4. Step 4: Simplify right side
    433,223x = 448,234,936,512.25
  5. Step 5: Solve for x
    x = 448,234,936,512.25/433,223
  6. Step 6: Final answer
    x = 1,034,651.75

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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.