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Finding the Third Proportional to 633,388.69 and 981,578.06

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Solution

The third proportional to 633,388.69 and 981,578.06 is: 1,521,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,388.69 : 981,578.06 = 981,578.06 : x
  2. Step 2: Convert to fraction form
    633,388.69/981,578.06 = 981,578.06/x
  3. Step 3: Cross multiply
    633,388.69x = 981,578.06 × 981,578.06
  4. Step 4: Simplify right side
    633,388.69x = 963,495,492,781.25
  5. Step 5: Solve for x
    x = 963,495,492,781.25/633,388.69
  6. Step 6: Final answer
    x = 1,521,175.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.