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Finding the Third Proportional to 303,850 and 471,703

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Solution

The third proportional to 303,850 and 471,703 is: 732,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,850 : 471,703 = 471,703 : x
  2. Step 2: Convert to fraction form
    303,850/471,703 = 471,703/x
  3. Step 3: Cross multiply
    303,850x = 471,703 × 471,703
  4. Step 4: Simplify right side
    303,850x = 222,503,720,209
  5. Step 5: Solve for x
    x = 222,503,720,209/303,850
  6. Step 6: Final answer
    x = 732,281.46

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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.