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Finding the Third Proportional to 333,965.53 and 729,172.76

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Solution

The third proportional to 333,965.53 and 729,172.76 is: 1,592,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,965.53 : 729,172.76 = 729,172.76 : x
  2. Step 2: Convert to fraction form
    333,965.53/729,172.76 = 729,172.76/x
  3. Step 3: Cross multiply
    333,965.53x = 729,172.76 × 729,172.76
  4. Step 4: Simplify right side
    333,965.53x = 531,692,910,735.89
  5. Step 5: Solve for x
    x = 531,692,910,735.89/333,965.53
  6. Step 6: Final answer
    x = 1,592,059.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.