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Finding the Third Proportional to 264,409.75 and 402,811.25

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Solution

The third proportional to 264,409.75 and 402,811.25 is: 613,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,409.75 : 402,811.25 = 402,811.25 : x
  2. Step 2: Convert to fraction form
    264,409.75/402,811.25 = 402,811.25/x
  3. Step 3: Cross multiply
    264,409.75x = 402,811.25 × 402,811.25
  4. Step 4: Simplify right side
    264,409.75x = 162,256,903,126.56
  5. Step 5: Solve for x
    x = 162,256,903,126.56/264,409.75
  6. Step 6: Final answer
    x = 613,657.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.