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Finding the Third Proportional to 264,796.50 and 392,049.75

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Solution

The third proportional to 264,796.50 and 392,049.75 is: 580,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,796.50 : 392,049.75 = 392,049.75 : x
  2. Step 2: Convert to fraction form
    264,796.50/392,049.75 = 392,049.75/x
  3. Step 3: Cross multiply
    264,796.50x = 392,049.75 × 392,049.75
  4. Step 4: Simplify right side
    264,796.50x = 153,703,006,475.06
  5. Step 5: Solve for x
    x = 153,703,006,475.06/264,796.50
  6. Step 6: Final answer
    x = 580,457.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.