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Finding the Third Proportional to 272,818 and 592,286

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Solution

The third proportional to 272,818 and 592,286 is: 1,285,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,818 : 592,286 = 592,286 : x
  2. Step 2: Convert to fraction form
    272,818/592,286 = 592,286/x
  3. Step 3: Cross multiply
    272,818x = 592,286 × 592,286
  4. Step 4: Simplify right side
    272,818x = 350,802,705,796
  5. Step 5: Solve for x
    x = 350,802,705,796/272,818
  6. Step 6: Final answer
    x = 1,285,848.83

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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.