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Finding the Third Proportional to 264,507.19 and 397,353.94

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Solution

The third proportional to 264,507.19 and 397,353.94 is: 596,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,507.19 : 397,353.94 = 397,353.94 : x
  2. Step 2: Convert to fraction form
    264,507.19/397,353.94 = 397,353.94/x
  3. Step 3: Cross multiply
    264,507.19x = 397,353.94 × 397,353.94
  4. Step 4: Simplify right side
    264,507.19x = 157,890,151,646.75
  5. Step 5: Solve for x
    x = 157,890,151,646.75/264,507.19
  6. Step 6: Final answer
    x = 596,921.97

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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.