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Finding the Third Proportional to 332,301.75 and 728,931.75

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Solution

The third proportional to 332,301.75 and 728,931.75 is: 1,598,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,301.75 : 728,931.75 = 728,931.75 : x
  2. Step 2: Convert to fraction form
    332,301.75/728,931.75 = 728,931.75/x
  3. Step 3: Cross multiply
    332,301.75x = 728,931.75 × 728,931.75
  4. Step 4: Simplify right side
    332,301.75x = 531,341,496,158.06
  5. Step 5: Solve for x
    x = 531,341,496,158.06/332,301.75
  6. Step 6: Final answer
    x = 1,598,972.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.