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Finding the Third Proportional to 250,701.75 and 548,773.50

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Solution

The third proportional to 250,701.75 and 548,773.50 is: 1,201,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,701.75 : 548,773.50 = 548,773.50 : x
  2. Step 2: Convert to fraction form
    250,701.75/548,773.50 = 548,773.50/x
  3. Step 3: Cross multiply
    250,701.75x = 548,773.50 × 548,773.50
  4. Step 4: Simplify right side
    250,701.75x = 301,152,354,302.25
  5. Step 5: Solve for x
    x = 301,152,354,302.25/250,701.75
  6. Step 6: Final answer
    x = 1,201,237.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.