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Finding the Third Proportional to 409,548 and 641,058.75

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Solution

The third proportional to 409,548 and 641,058.75 is: 1,003,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,548 : 641,058.75 = 641,058.75 : x
  2. Step 2: Convert to fraction form
    409,548/641,058.75 = 641,058.75/x
  3. Step 3: Cross multiply
    409,548x = 641,058.75 × 641,058.75
  4. Step 4: Simplify right side
    409,548x = 410,956,320,951.56
  5. Step 5: Solve for x
    x = 410,956,320,951.56/409,548
  6. Step 6: Final answer
    x = 1,003,438.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.