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Finding the Third Proportional to 509,302 and 764,014

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Solution

The third proportional to 509,302 and 764,014 is: 1,146,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,302 : 764,014 = 764,014 : x
  2. Step 2: Convert to fraction form
    509,302/764,014 = 764,014/x
  3. Step 3: Cross multiply
    509,302x = 764,014 × 764,014
  4. Step 4: Simplify right side
    509,302x = 583,717,392,196
  5. Step 5: Solve for x
    x = 583,717,392,196/509,302
  6. Step 6: Final answer
    x = 1,146,112.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.