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Finding the Third Proportional to 337,320.75 and 724,665

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Solution

The third proportional to 337,320.75 and 724,665 is: 1,556,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,320.75 : 724,665 = 724,665 : x
  2. Step 2: Convert to fraction form
    337,320.75/724,665 = 724,665/x
  3. Step 3: Cross multiply
    337,320.75x = 724,665 × 724,665
  4. Step 4: Simplify right side
    337,320.75x = 525,139,362,225
  5. Step 5: Solve for x
    x = 525,139,362,225/337,320.75
  6. Step 6: Final answer
    x = 1,556,795.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.