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Finding the Third Proportional to 546,606 and 764,343

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Solution

The third proportional to 546,606 and 764,343 is: 1,068,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,606 : 764,343 = 764,343 : x
  2. Step 2: Convert to fraction form
    546,606/764,343 = 764,343/x
  3. Step 3: Cross multiply
    546,606x = 764,343 × 764,343
  4. Step 4: Simplify right side
    546,606x = 584,220,221,649
  5. Step 5: Solve for x
    x = 584,220,221,649/546,606
  6. Step 6: Final answer
    x = 1,068,814.14

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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.