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Finding the Third Proportional to 300,190.50 and 456,475.13

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Solution

The third proportional to 300,190.50 and 456,475.13 is: 694,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,190.50 : 456,475.13 = 456,475.13 : x
  2. Step 2: Convert to fraction form
    300,190.50/456,475.13 = 456,475.13/x
  3. Step 3: Cross multiply
    300,190.50x = 456,475.13 × 456,475.13
  4. Step 4: Simplify right side
    300,190.50x = 208,369,539,743.77
  5. Step 5: Solve for x
    x = 208,369,539,743.77/300,190.50
  6. Step 6: Final answer
    x = 694,124.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.