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Finding the Third Proportional to 467,892 and 753,516

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Solution

The third proportional to 467,892 and 753,516 is: 1,213,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,892 : 753,516 = 753,516 : x
  2. Step 2: Convert to fraction form
    467,892/753,516 = 753,516/x
  3. Step 3: Cross multiply
    467,892x = 753,516 × 753,516
  4. Step 4: Simplify right side
    467,892x = 567,786,362,256
  5. Step 5: Solve for x
    x = 567,786,362,256/467,892
  6. Step 6: Final answer
    x = 1,213,498.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.