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Finding the Third Proportional to 297,108 and 403,683.75

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Solution

The third proportional to 297,108 and 403,683.75 is: 548,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,108 : 403,683.75 = 403,683.75 : x
  2. Step 2: Convert to fraction form
    297,108/403,683.75 = 403,683.75/x
  3. Step 3: Cross multiply
    297,108x = 403,683.75 × 403,683.75
  4. Step 4: Simplify right side
    297,108x = 162,960,570,014.06
  5. Step 5: Solve for x
    x = 162,960,570,014.06/297,108
  6. Step 6: Final answer
    x = 548,489.34

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.