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Finding the Third Proportional to 418,003.50 and 640,498.88

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Solution

The third proportional to 418,003.50 and 640,498.88 is: 981,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,003.50 : 640,498.88 = 640,498.88 : x
  2. Step 2: Convert to fraction form
    418,003.50/640,498.88 = 640,498.88/x
  3. Step 3: Cross multiply
    418,003.50x = 640,498.88 × 640,498.88
  4. Step 4: Simplify right side
    418,003.50x = 410,238,808,876.27
  5. Step 5: Solve for x
    x = 410,238,808,876.27/418,003.50
  6. Step 6: Final answer
    x = 981,424.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.