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Finding the Third Proportional to 272,919 and 592,458

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Solution

The third proportional to 272,919 and 592,458 is: 1,286,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,919 : 592,458 = 592,458 : x
  2. Step 2: Convert to fraction form
    272,919/592,458 = 592,458/x
  3. Step 3: Cross multiply
    272,919x = 592,458 × 592,458
  4. Step 4: Simplify right side
    272,919x = 351,006,481,764
  5. Step 5: Solve for x
    x = 351,006,481,764/272,919
  6. Step 6: Final answer
    x = 1,286,119.62

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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.