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Finding the Third Proportional to 510,996.09 and 793,479.80

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Solution

The third proportional to 510,996.09 and 793,479.80 is: 1,232,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,996.09 : 793,479.80 = 793,479.80 : x
  2. Step 2: Convert to fraction form
    510,996.09/793,479.80 = 793,479.80/x
  3. Step 3: Cross multiply
    510,996.09x = 793,479.80 × 793,479.80
  4. Step 4: Simplify right side
    510,996.09x = 629,610,188,048.79
  5. Step 5: Solve for x
    x = 629,610,188,048.79/510,996.09
  6. Step 6: Final answer
    x = 1,232,123.29

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Why These Related Problems?

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