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Finding the Third Proportional to 272,625.75 and 578,046.38

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Solution

The third proportional to 272,625.75 and 578,046.38 is: 1,225,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,625.75 : 578,046.38 = 578,046.38 : x
  2. Step 2: Convert to fraction form
    272,625.75/578,046.38 = 578,046.38/x
  3. Step 3: Cross multiply
    272,625.75x = 578,046.38 × 578,046.38
  4. Step 4: Simplify right side
    272,625.75x = 334,137,611,650.64
  5. Step 5: Solve for x
    x = 334,137,611,650.64/272,625.75
  6. Step 6: Final answer
    x = 1,225,627.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.