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Finding the Third Proportional to 309,640.50 and 512,461.50

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Solution

The third proportional to 309,640.50 and 512,461.50 is: 848,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,640.50 : 512,461.50 = 512,461.50 : x
  2. Step 2: Convert to fraction form
    309,640.50/512,461.50 = 512,461.50/x
  3. Step 3: Cross multiply
    309,640.50x = 512,461.50 × 512,461.50
  4. Step 4: Simplify right side
    309,640.50x = 262,616,788,982.25
  5. Step 5: Solve for x
    x = 262,616,788,982.25/309,640.50
  6. Step 6: Final answer
    x = 848,134.49

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Why These Related Problems?

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