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Finding the Third Proportional to 324,874.13 and 499,997.63

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Solution

The third proportional to 324,874.13 and 499,997.63 is: 769,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,874.13 : 499,997.63 = 499,997.63 : x
  2. Step 2: Convert to fraction form
    324,874.13/499,997.63 = 499,997.63/x
  3. Step 3: Cross multiply
    324,874.13x = 499,997.63 × 499,997.63
  4. Step 4: Simplify right side
    324,874.13x = 249,997,625,005.64
  5. Step 5: Solve for x
    x = 249,997,625,005.64/324,874.13
  6. Step 6: Final answer
    x = 769,521.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.