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Finding the Third Proportional to 397,351.13 and 567,475.88

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Solution

The third proportional to 397,351.13 and 567,475.88 is: 810,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,351.13 : 567,475.88 = 567,475.88 : x
  2. Step 2: Convert to fraction form
    397,351.13/567,475.88 = 567,475.88/x
  3. Step 3: Cross multiply
    397,351.13x = 567,475.88 × 567,475.88
  4. Step 4: Simplify right side
    397,351.13x = 322,028,868,707.02
  5. Step 5: Solve for x
    x = 322,028,868,707.02/397,351.13
  6. Step 6: Final answer
    x = 810,439.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.