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Finding the Third Proportional to 384,992 and 598,432

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Solution

The third proportional to 384,992 and 598,432 is: 930,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,992 : 598,432 = 598,432 : x
  2. Step 2: Convert to fraction form
    384,992/598,432 = 598,432/x
  3. Step 3: Cross multiply
    384,992x = 598,432 × 598,432
  4. Step 4: Simplify right side
    384,992x = 358,120,858,624
  5. Step 5: Solve for x
    x = 358,120,858,624/384,992
  6. Step 6: Final answer
    x = 930,203.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.