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Finding the Third Proportional to 256,497.75 and 556,803.56

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Solution

The third proportional to 256,497.75 and 556,803.56 is: 1,208,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,497.75 : 556,803.56 = 556,803.56 : x
  2. Step 2: Convert to fraction form
    256,497.75/556,803.56 = 556,803.56/x
  3. Step 3: Cross multiply
    256,497.75x = 556,803.56 × 556,803.56
  4. Step 4: Simplify right side
    256,497.75x = 310,030,207,212.69
  5. Step 5: Solve for x
    x = 310,030,207,212.69/256,497.75
  6. Step 6: Final answer
    x = 1,208,705.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.