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Finding the Third Proportional to 391,302 and 595,176

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Solution

The third proportional to 391,302 and 595,176 is: 905,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,302 : 595,176 = 595,176 : x
  2. Step 2: Convert to fraction form
    391,302/595,176 = 595,176/x
  3. Step 3: Cross multiply
    391,302x = 595,176 × 595,176
  4. Step 4: Simplify right side
    391,302x = 354,234,470,976
  5. Step 5: Solve for x
    x = 354,234,470,976/391,302
  6. Step 6: Final answer
    x = 905,271.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.