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Finding the Third Proportional to 392,604 and 592,188

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Solution

The third proportional to 392,604 and 592,188 is: 893,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,604 : 592,188 = 592,188 : x
  2. Step 2: Convert to fraction form
    392,604/592,188 = 592,188/x
  3. Step 3: Cross multiply
    392,604x = 592,188 × 592,188
  4. Step 4: Simplify right side
    392,604x = 350,686,627,344
  5. Step 5: Solve for x
    x = 350,686,627,344/392,604
  6. Step 6: Final answer
    x = 893,232.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.