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Finding the Third Proportional to 363,269 and 498,670

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Solution

The third proportional to 363,269 and 498,670 is: 684,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,269 : 498,670 = 498,670 : x
  2. Step 2: Convert to fraction form
    363,269/498,670 = 498,670/x
  3. Step 3: Cross multiply
    363,269x = 498,670 × 498,670
  4. Step 4: Simplify right side
    363,269x = 248,671,768,900
  5. Step 5: Solve for x
    x = 248,671,768,900/363,269
  6. Step 6: Final answer
    x = 684,538.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.