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Finding the Third Proportional to 504,705.50 and 775,768.75

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Solution

The third proportional to 504,705.50 and 775,768.75 is: 1,192,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,705.50 : 775,768.75 = 775,768.75 : x
  2. Step 2: Convert to fraction form
    504,705.50/775,768.75 = 775,768.75/x
  3. Step 3: Cross multiply
    504,705.50x = 775,768.75 × 775,768.75
  4. Step 4: Simplify right side
    504,705.50x = 601,817,153,476.56
  5. Step 5: Solve for x
    x = 601,817,153,476.56/504,705.50
  6. Step 6: Final answer
    x = 1,192,412.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.