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Finding the Third Proportional to 546,511 and 764,233

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Solution

The third proportional to 546,511 and 764,233 is: 1,068,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,511 : 764,233 = 764,233 : x
  2. Step 2: Convert to fraction form
    546,511/764,233 = 764,233/x
  3. Step 3: Cross multiply
    546,511x = 764,233 × 764,233
  4. Step 4: Simplify right side
    546,511x = 584,052,078,289
  5. Step 5: Solve for x
    x = 584,052,078,289/546,511
  6. Step 6: Final answer
    x = 1,068,692.26

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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.