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Finding the Third Proportional to 253,190.81 and 597,673.69

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Solution

The third proportional to 253,190.81 and 597,673.69 is: 1,410,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,190.81 : 597,673.69 = 597,673.69 : x
  2. Step 2: Convert to fraction form
    253,190.81/597,673.69 = 597,673.69/x
  3. Step 3: Cross multiply
    253,190.81x = 597,673.69 × 597,673.69
  4. Step 4: Simplify right side
    253,190.81x = 357,213,836,729.85
  5. Step 5: Solve for x
    x = 357,213,836,729.85/253,190.81
  6. Step 6: Final answer
    x = 1,410,848.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.