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Finding the Third Proportional to 332,827.50 and 729,009

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Solution

The third proportional to 332,827.50 and 729,009 is: 1,596,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,827.50 : 729,009 = 729,009 : x
  2. Step 2: Convert to fraction form
    332,827.50/729,009 = 729,009/x
  3. Step 3: Cross multiply
    332,827.50x = 729,009 × 729,009
  4. Step 4: Simplify right side
    332,827.50x = 531,454,122,081
  5. Step 5: Solve for x
    x = 531,454,122,081/332,827.50
  6. Step 6: Final answer
    x = 1,596,785.49

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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.