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Finding the Third Proportional to 303,690.50 and 471,452.25

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Solution

The third proportional to 303,690.50 and 471,452.25 is: 731,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,690.50 : 471,452.25 = 471,452.25 : x
  2. Step 2: Convert to fraction form
    303,690.50/471,452.25 = 471,452.25/x
  3. Step 3: Cross multiply
    303,690.50x = 471,452.25 × 471,452.25
  4. Step 4: Simplify right side
    303,690.50x = 222,267,224,030.06
  5. Step 5: Solve for x
    x = 222,267,224,030.06/303,690.50
  6. Step 6: Final answer
    x = 731,887.31

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Why These Related Problems?

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