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Finding the Third Proportional to 256,322.25 and 560,895.75

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Solution

The third proportional to 256,322.25 and 560,895.75 is: 1,227,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,322.25 : 560,895.75 = 560,895.75 : x
  2. Step 2: Convert to fraction form
    256,322.25/560,895.75 = 560,895.75/x
  3. Step 3: Cross multiply
    256,322.25x = 560,895.75 × 560,895.75
  4. Step 4: Simplify right side
    256,322.25x = 314,604,042,368.06
  5. Step 5: Solve for x
    x = 314,604,042,368.06/256,322.25
  6. Step 6: Final answer
    x = 1,227,377.03

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