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Finding the Third Proportional to 254,269.50 and 384,687

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Solution

The third proportional to 254,269.50 and 384,687 is: 581,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,269.50 : 384,687 = 384,687 : x
  2. Step 2: Convert to fraction form
    254,269.50/384,687 = 384,687/x
  3. Step 3: Cross multiply
    254,269.50x = 384,687 × 384,687
  4. Step 4: Simplify right side
    254,269.50x = 147,984,087,969
  5. Step 5: Solve for x
    x = 147,984,087,969/254,269.50
  6. Step 6: Final answer
    x = 581,997.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.