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Finding the Third Proportional to 296,133.75 and 476,905.50

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Solution

The third proportional to 296,133.75 and 476,905.50 is: 768,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,133.75 : 476,905.50 = 476,905.50 : x
  2. Step 2: Convert to fraction form
    296,133.75/476,905.50 = 476,905.50/x
  3. Step 3: Cross multiply
    296,133.75x = 476,905.50 × 476,905.50
  4. Step 4: Simplify right side
    296,133.75x = 227,438,855,930.25
  5. Step 5: Solve for x
    x = 227,438,855,930.25/296,133.75
  6. Step 6: Final answer
    x = 768,027.47

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.