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Finding the Third Proportional to 276,886.69 and 427,141.69

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Solution

The third proportional to 276,886.69 and 427,141.69 is: 658,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,886.69 : 427,141.69 = 427,141.69 : x
  2. Step 2: Convert to fraction form
    276,886.69/427,141.69 = 427,141.69/x
  3. Step 3: Cross multiply
    276,886.69x = 427,141.69 × 427,141.69
  4. Step 4: Simplify right side
    276,886.69x = 182,450,021,200.35
  5. Step 5: Solve for x
    x = 182,450,021,200.35/276,886.69
  6. Step 6: Final answer
    x = 658,933.89

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