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Finding the Third Proportional to 355,002.75 and 764,133.75

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Solution

The third proportional to 355,002.75 and 764,133.75 is: 1,644,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,002.75 : 764,133.75 = 764,133.75 : x
  2. Step 2: Convert to fraction form
    355,002.75/764,133.75 = 764,133.75/x
  3. Step 3: Cross multiply
    355,002.75x = 764,133.75 × 764,133.75
  4. Step 4: Simplify right side
    355,002.75x = 583,900,387,889.06
  5. Step 5: Solve for x
    x = 583,900,387,889.06/355,002.75
  6. Step 6: Final answer
    x = 1,644,777.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.