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Finding the Third Proportional to 546,507 and 764,227

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Solution

The third proportional to 546,507 and 764,227 is: 1,068,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,507 : 764,227 = 764,227 : x
  2. Step 2: Convert to fraction form
    546,507/764,227 = 764,227/x
  3. Step 3: Cross multiply
    546,507x = 764,227 × 764,227
  4. Step 4: Simplify right side
    546,507x = 584,042,907,529
  5. Step 5: Solve for x
    x = 584,042,907,529/546,507
  6. Step 6: Final answer
    x = 1,068,683.31

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