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Finding the Third Proportional to 332,585.75 and 729,549.75

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Solution

The third proportional to 332,585.75 and 729,549.75 is: 1,600,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,585.75 : 729,549.75 = 729,549.75 : x
  2. Step 2: Convert to fraction form
    332,585.75/729,549.75 = 729,549.75/x
  3. Step 3: Cross multiply
    332,585.75x = 729,549.75 × 729,549.75
  4. Step 4: Simplify right side
    332,585.75x = 532,242,837,725.06
  5. Step 5: Solve for x
    x = 532,242,837,725.06/332,585.75
  6. Step 6: Final answer
    x = 1,600,317.63

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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.