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Finding the Third Proportional to 309,640.22 and 512,461.69

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Solution

The third proportional to 309,640.22 and 512,461.69 is: 848,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,640.22 : 512,461.69 = 512,461.69 : x
  2. Step 2: Convert to fraction form
    309,640.22/512,461.69 = 512,461.69/x
  3. Step 3: Cross multiply
    309,640.22x = 512,461.69 × 512,461.69
  4. Step 4: Simplify right side
    309,640.22x = 262,616,981,155.35
  5. Step 5: Solve for x
    x = 262,616,981,155.35/309,640.22
  6. Step 6: Final answer
    x = 848,135.89

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.