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Finding the Third Proportional to 353,034 and 764,028

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Solution

The third proportional to 353,034 and 764,028 is: 1,653,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,034 : 764,028 = 764,028 : x
  2. Step 2: Convert to fraction form
    353,034/764,028 = 764,028/x
  3. Step 3: Cross multiply
    353,034x = 764,028 × 764,028
  4. Step 4: Simplify right side
    353,034x = 583,738,784,784
  5. Step 5: Solve for x
    x = 583,738,784,784/353,034
  6. Step 6: Final answer
    x = 1,653,491.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.