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Finding the Third Proportional to 272,814 and 592,278

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Solution

The third proportional to 272,814 and 592,278 is: 1,285,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,814 : 592,278 = 592,278 : x
  2. Step 2: Convert to fraction form
    272,814/592,278 = 592,278/x
  3. Step 3: Cross multiply
    272,814x = 592,278 × 592,278
  4. Step 4: Simplify right side
    272,814x = 350,793,229,284
  5. Step 5: Solve for x
    x = 350,793,229,284/272,814
  6. Step 6: Final answer
    x = 1,285,832.95

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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.