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Finding the Third Proportional to 363,358 and 520,125

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Solution

The third proportional to 363,358 and 520,125 is: 744,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,358 : 520,125 = 520,125 : x
  2. Step 2: Convert to fraction form
    363,358/520,125 = 520,125/x
  3. Step 3: Cross multiply
    363,358x = 520,125 × 520,125
  4. Step 4: Simplify right side
    363,358x = 270,530,015,625
  5. Step 5: Solve for x
    x = 270,530,015,625/363,358
  6. Step 6: Final answer
    x = 744,527.48

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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.