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Finding the Third Proportional to 409,245.75 and 619,530.19

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Solution

The third proportional to 409,245.75 and 619,530.19 is: 937,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,245.75 : 619,530.19 = 619,530.19 : x
  2. Step 2: Convert to fraction form
    409,245.75/619,530.19 = 619,530.19/x
  3. Step 3: Cross multiply
    409,245.75x = 619,530.19 × 619,530.19
  4. Step 4: Simplify right side
    409,245.75x = 383,817,653,223.79
  5. Step 5: Solve for x
    x = 383,817,653,223.79/409,245.75
  6. Step 6: Final answer
    x = 937,865.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.