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Finding the Third Proportional to 515,405.60 and 786,439.23

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Solution

The third proportional to 515,405.60 and 786,439.23 is: 1,199,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,405.60 : 786,439.23 = 786,439.23 : x
  2. Step 2: Convert to fraction form
    515,405.60/786,439.23 = 786,439.23/x
  3. Step 3: Cross multiply
    515,405.60x = 786,439.23 × 786,439.23
  4. Step 4: Simplify right side
    515,405.60x = 618,486,663,220.28
  5. Step 5: Solve for x
    x = 618,486,663,220.28/515,405.60
  6. Step 6: Final answer
    x = 1,199,999.89

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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.