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Finding the Third Proportional to 546,514 and 764,235

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Solution

The third proportional to 546,514 and 764,235 is: 1,068,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,514 : 764,235 = 764,235 : x
  2. Step 2: Convert to fraction form
    546,514/764,235 = 764,235/x
  3. Step 3: Cross multiply
    546,514x = 764,235 × 764,235
  4. Step 4: Simplify right side
    546,514x = 584,055,135,225
  5. Step 5: Solve for x
    x = 584,055,135,225/546,514
  6. Step 6: Final answer
    x = 1,068,691.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.