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Finding the Third Proportional to 369,057.75 and 471,573.75

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Solution

The third proportional to 369,057.75 and 471,573.75 is: 602,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,057.75 : 471,573.75 = 471,573.75 : x
  2. Step 2: Convert to fraction form
    369,057.75/471,573.75 = 471,573.75/x
  3. Step 3: Cross multiply
    369,057.75x = 471,573.75 × 471,573.75
  4. Step 4: Simplify right side
    369,057.75x = 222,381,801,689.06
  5. Step 5: Solve for x
    x = 222,381,801,689.06/369,057.75
  6. Step 6: Final answer
    x = 602,566.41

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.