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Finding the Third Proportional to 272,821 and 595,201

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Solution

The third proportional to 272,821 and 595,201 is: 1,298,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,821 : 595,201 = 595,201 : x
  2. Step 2: Convert to fraction form
    272,821/595,201 = 595,201/x
  3. Step 3: Cross multiply
    272,821x = 595,201 × 595,201
  4. Step 4: Simplify right side
    272,821x = 354,264,230,401
  5. Step 5: Solve for x
    x = 354,264,230,401/272,821
  6. Step 6: Final answer
    x = 1,298,522.59

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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.