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Finding the Third Proportional to 397,482 and 590,817

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Solution

The third proportional to 397,482 and 590,817 is: 878,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,482 : 590,817 = 590,817 : x
  2. Step 2: Convert to fraction form
    397,482/590,817 = 590,817/x
  3. Step 3: Cross multiply
    397,482x = 590,817 × 590,817
  4. Step 4: Simplify right side
    397,482x = 349,064,727,489
  5. Step 5: Solve for x
    x = 349,064,727,489/397,482
  6. Step 6: Final answer
    x = 878,190.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.