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Finding the Third Proportional to 303,763.50 and 471,561.75

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Solution

The third proportional to 303,763.50 and 471,561.75 is: 732,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,763.50 : 471,561.75 = 471,561.75 : x
  2. Step 2: Convert to fraction form
    303,763.50/471,561.75 = 471,561.75/x
  3. Step 3: Cross multiply
    303,763.50x = 471,561.75 × 471,561.75
  4. Step 4: Simplify right side
    303,763.50x = 222,370,484,063.06
  5. Step 5: Solve for x
    x = 222,370,484,063.06/303,763.50
  6. Step 6: Final answer
    x = 732,051.36

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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.