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Finding the Third Proportional to 509,102.75 and 754,844.75

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Solution

The third proportional to 509,102.75 and 754,844.75 is: 1,119,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,102.75 : 754,844.75 = 754,844.75 : x
  2. Step 2: Convert to fraction form
    509,102.75/754,844.75 = 754,844.75/x
  3. Step 3: Cross multiply
    509,102.75x = 754,844.75 × 754,844.75
  4. Step 4: Simplify right side
    509,102.75x = 569,790,596,602.56
  5. Step 5: Solve for x
    x = 569,790,596,602.56/509,102.75
  6. Step 6: Final answer
    x = 1,119,205.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.