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Finding the Third Proportional to 272,799 and 592,254

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Solution

The third proportional to 272,799 and 592,254 is: 1,285,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,799 : 592,254 = 592,254 : x
  2. Step 2: Convert to fraction form
    272,799/592,254 = 592,254/x
  3. Step 3: Cross multiply
    272,799x = 592,254 × 592,254
  4. Step 4: Simplify right side
    272,799x = 350,764,800,516
  5. Step 5: Solve for x
    x = 350,764,800,516/272,799
  6. Step 6: Final answer
    x = 1,285,799.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.