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Finding the Third Proportional to 350,892 and 546,831

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Solution

The third proportional to 350,892 and 546,831 is: 852,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,892 : 546,831 = 546,831 : x
  2. Step 2: Convert to fraction form
    350,892/546,831 = 546,831/x
  3. Step 3: Cross multiply
    350,892x = 546,831 × 546,831
  4. Step 4: Simplify right side
    350,892x = 299,024,142,561
  5. Step 5: Solve for x
    x = 299,024,142,561/350,892
  6. Step 6: Final answer
    x = 852,182.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.