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Finding the Third Proportional to 256,072.64 and 560,931.33

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Solution

The third proportional to 256,072.64 and 560,931.33 is: 1,228,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,072.64 : 560,931.33 = 560,931.33 : x
  2. Step 2: Convert to fraction form
    256,072.64/560,931.33 = 560,931.33/x
  3. Step 3: Cross multiply
    256,072.64x = 560,931.33 × 560,931.33
  4. Step 4: Simplify right side
    256,072.64x = 314,643,954,872.08
  5. Step 5: Solve for x
    x = 314,643,954,872.08/256,072.64
  6. Step 6: Final answer
    x = 1,228,729.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.