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Finding the Third Proportional to 332,893.88 and 471,036.38

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Solution

The third proportional to 332,893.88 and 471,036.38 is: 666,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,893.88 : 471,036.38 = 471,036.38 : x
  2. Step 2: Convert to fraction form
    332,893.88/471,036.38 = 471,036.38/x
  3. Step 3: Cross multiply
    332,893.88x = 471,036.38 × 471,036.38
  4. Step 4: Simplify right side
    332,893.88x = 221,875,266,573.14
  5. Step 5: Solve for x
    x = 221,875,266,573.14/332,893.88
  6. Step 6: Final answer
    x = 666,504.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.