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Finding the Third Proportional to 308,134.13 and 665,475.75

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Solution

The third proportional to 308,134.13 and 665,475.75 is: 1,437,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,134.13 : 665,475.75 = 665,475.75 : x
  2. Step 2: Convert to fraction form
    308,134.13/665,475.75 = 665,475.75/x
  3. Step 3: Cross multiply
    308,134.13x = 665,475.75 × 665,475.75
  4. Step 4: Simplify right side
    308,134.13x = 442,857,973,838.06
  5. Step 5: Solve for x
    x = 442,857,973,838.06/308,134.13
  6. Step 6: Final answer
    x = 1,437,224.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.