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Finding the Third Proportional to 515,384.44 and 786,403.69

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Solution

The third proportional to 515,384.44 and 786,403.69 is: 1,199,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,384.44 : 786,403.69 = 786,403.69 : x
  2. Step 2: Convert to fraction form
    515,384.44/786,403.69 = 786,403.69/x
  3. Step 3: Cross multiply
    515,384.44x = 786,403.69 × 786,403.69
  4. Step 4: Simplify right side
    515,384.44x = 618,430,759,713.60
  5. Step 5: Solve for x
    x = 618,430,759,713.60/515,384.44
  6. Step 6: Final answer
    x = 1,199,940.69

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Why These Related Problems?

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