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Finding the Third Proportional to 391,833 and 597,884

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Solution

The third proportional to 391,833 and 597,884 is: 912,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,833 : 597,884 = 597,884 : x
  2. Step 2: Convert to fraction form
    391,833/597,884 = 597,884/x
  3. Step 3: Cross multiply
    391,833x = 597,884 × 597,884
  4. Step 4: Simplify right side
    391,833x = 357,465,277,456
  5. Step 5: Solve for x
    x = 357,465,277,456/391,833
  6. Step 6: Final answer
    x = 912,289.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.