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Finding the Third Proportional to 393,903 and 573,629

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Solution

The third proportional to 393,903 and 573,629 is: 835,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,903 : 573,629 = 573,629 : x
  2. Step 2: Convert to fraction form
    393,903/573,629 = 573,629/x
  3. Step 3: Cross multiply
    393,903x = 573,629 × 573,629
  4. Step 4: Simplify right side
    393,903x = 329,050,229,641
  5. Step 5: Solve for x
    x = 329,050,229,641/393,903
  6. Step 6: Final answer
    x = 835,358.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.