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Finding the Third Proportional to 272,829.75 and 595,218

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Solution

The third proportional to 272,829.75 and 595,218 is: 1,298,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,829.75 : 595,218 = 595,218 : x
  2. Step 2: Convert to fraction form
    272,829.75/595,218 = 595,218/x
  3. Step 3: Cross multiply
    272,829.75x = 595,218 × 595,218
  4. Step 4: Simplify right side
    272,829.75x = 354,284,467,524
  5. Step 5: Solve for x
    x = 354,284,467,524/272,829.75
  6. Step 6: Final answer
    x = 1,298,555.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.