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Finding the Third Proportional to 392,534 and 604,191

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Solution

The third proportional to 392,534 and 604,191 is: 929,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,534 : 604,191 = 604,191 : x
  2. Step 2: Convert to fraction form
    392,534/604,191 = 604,191/x
  3. Step 3: Cross multiply
    392,534x = 604,191 × 604,191
  4. Step 4: Simplify right side
    392,534x = 365,046,764,481
  5. Step 5: Solve for x
    x = 365,046,764,481/392,534
  6. Step 6: Final answer
    x = 929,974.89

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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.