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Finding the Third Proportional to 256,744.69 and 552,187.13

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Solution

The third proportional to 256,744.69 and 552,187.13 is: 1,187,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,744.69 : 552,187.13 = 552,187.13 : x
  2. Step 2: Convert to fraction form
    256,744.69/552,187.13 = 552,187.13/x
  3. Step 3: Cross multiply
    256,744.69x = 552,187.13 × 552,187.13
  4. Step 4: Simplify right side
    256,744.69x = 304,910,621,015.77
  5. Step 5: Solve for x
    x = 304,910,621,015.77/256,744.69
  6. Step 6: Final answer
    x = 1,187,602.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.