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Finding the Third Proportional to 548,350 and 1,269,335.50

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Solution

The third proportional to 548,350 and 1,269,335.50 is: 2,938,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,350 : 1,269,335.50 = 1,269,335.50 : x
  2. Step 2: Convert to fraction form
    548,350/1,269,335.50 = 1,269,335.50/x
  3. Step 3: Cross multiply
    548,350x = 1,269,335.50 × 1,269,335.50
  4. Step 4: Simplify right side
    548,350x = 1,611,212,611,560.25
  5. Step 5: Solve for x
    x = 1,611,212,611,560.25/548,350
  6. Step 6: Final answer
    x = 2,938,292.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.