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Finding the Third Proportional to 337,509 and 734,202

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Solution

The third proportional to 337,509 and 734,202 is: 1,597,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,509 : 734,202 = 734,202 : x
  2. Step 2: Convert to fraction form
    337,509/734,202 = 734,202/x
  3. Step 3: Cross multiply
    337,509x = 734,202 × 734,202
  4. Step 4: Simplify right side
    337,509x = 539,052,576,804
  5. Step 5: Solve for x
    x = 539,052,576,804/337,509
  6. Step 6: Final answer
    x = 1,597,150.23

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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.