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Finding the Third Proportional to 335,691 and 730,408.50

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Solution

The third proportional to 335,691 and 730,408.50 is: 1,589,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,691 : 730,408.50 = 730,408.50 : x
  2. Step 2: Convert to fraction form
    335,691/730,408.50 = 730,408.50/x
  3. Step 3: Cross multiply
    335,691x = 730,408.50 × 730,408.50
  4. Step 4: Simplify right side
    335,691x = 533,496,576,872.25
  5. Step 5: Solve for x
    x = 533,496,576,872.25/335,691
  6. Step 6: Final answer
    x = 1,589,248.97

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