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Finding the Third Proportional to 256,729.50 and 565,947

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Solution

The third proportional to 256,729.50 and 565,947 is: 1,247,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,729.50 : 565,947 = 565,947 : x
  2. Step 2: Convert to fraction form
    256,729.50/565,947 = 565,947/x
  3. Step 3: Cross multiply
    256,729.50x = 565,947 × 565,947
  4. Step 4: Simplify right side
    256,729.50x = 320,296,006,809
  5. Step 5: Solve for x
    x = 320,296,006,809/256,729.50
  6. Step 6: Final answer
    x = 1,247,601.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.