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Finding the Third Proportional to 425,736 and 591,948

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Solution

The third proportional to 425,736 and 591,948 is: 823,050.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,736 : 591,948 = 591,948 : x
  2. Step 2: Convert to fraction form
    425,736/591,948 = 591,948/x
  3. Step 3: Cross multiply
    425,736x = 591,948 × 591,948
  4. Step 4: Simplify right side
    425,736x = 350,402,434,704
  5. Step 5: Solve for x
    x = 350,402,434,704/425,736
  6. Step 6: Final answer
    x = 823,050.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.