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Finding the Third Proportional to 392,532 and 604,188

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Solution

The third proportional to 392,532 and 604,188 is: 929,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,532 : 604,188 = 604,188 : x
  2. Step 2: Convert to fraction form
    392,532/604,188 = 604,188/x
  3. Step 3: Cross multiply
    392,532x = 604,188 × 604,188
  4. Step 4: Simplify right side
    392,532x = 365,043,139,344
  5. Step 5: Solve for x
    x = 365,043,139,344/392,532
  6. Step 6: Final answer
    x = 929,970.40

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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.