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Finding the Third Proportional to 297,121.50 and 403,701.75

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Solution

The third proportional to 297,121.50 and 403,701.75 is: 548,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,121.50 : 403,701.75 = 403,701.75 : x
  2. Step 2: Convert to fraction form
    297,121.50/403,701.75 = 403,701.75/x
  3. Step 3: Cross multiply
    297,121.50x = 403,701.75 × 403,701.75
  4. Step 4: Simplify right side
    297,121.50x = 162,975,102,953.06
  5. Step 5: Solve for x
    x = 162,975,102,953.06/297,121.50
  6. Step 6: Final answer
    x = 548,513.33

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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.