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Finding the Third Proportional to 392,703 and 604,500

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Solution

The third proportional to 392,703 and 604,500 is: 930,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,703 : 604,500 = 604,500 : x
  2. Step 2: Convert to fraction form
    392,703/604,500 = 604,500/x
  3. Step 3: Cross multiply
    392,703x = 604,500 × 604,500
  4. Step 4: Simplify right side
    392,703x = 365,420,250,000
  5. Step 5: Solve for x
    x = 365,420,250,000/392,703
  6. Step 6: Final answer
    x = 930,525.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.