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Finding the Third Proportional to 397,359 and 596,916

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Solution

The third proportional to 397,359 and 596,916 is: 896,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,359 : 596,916 = 596,916 : x
  2. Step 2: Convert to fraction form
    397,359/596,916 = 596,916/x
  3. Step 3: Cross multiply
    397,359x = 596,916 × 596,916
  4. Step 4: Simplify right side
    397,359x = 356,308,711,056
  5. Step 5: Solve for x
    x = 356,308,711,056/397,359
  6. Step 6: Final answer
    x = 896,692.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.