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Finding the Third Proportional to 272,832 and 595,222

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Solution

The third proportional to 272,832 and 595,222 is: 1,298,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,832 : 595,222 = 595,222 : x
  2. Step 2: Convert to fraction form
    272,832/595,222 = 595,222/x
  3. Step 3: Cross multiply
    272,832x = 595,222 × 595,222
  4. Step 4: Simplify right side
    272,832x = 354,289,229,284
  5. Step 5: Solve for x
    x = 354,289,229,284/272,832
  6. Step 6: Final answer
    x = 1,298,561.86

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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.