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Finding the Third Proportional to 332,825 and 729,005

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Solution

The third proportional to 332,825 and 729,005 is: 1,596,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,825 : 729,005 = 729,005 : x
  2. Step 2: Convert to fraction form
    332,825/729,005 = 729,005/x
  3. Step 3: Cross multiply
    332,825x = 729,005 × 729,005
  4. Step 4: Simplify right side
    332,825x = 531,448,290,025
  5. Step 5: Solve for x
    x = 531,448,290,025/332,825
  6. Step 6: Final answer
    x = 1,596,779.96

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Why These Related Problems?

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