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Finding the Third Proportional to 309,629.25 and 473,676.75

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Solution

The third proportional to 309,629.25 and 473,676.75 is: 724,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,629.25 : 473,676.75 = 473,676.75 : x
  2. Step 2: Convert to fraction form
    309,629.25/473,676.75 = 473,676.75/x
  3. Step 3: Cross multiply
    309,629.25x = 473,676.75 × 473,676.75
  4. Step 4: Simplify right side
    309,629.25x = 224,369,663,490.56
  5. Step 5: Solve for x
    x = 224,369,663,490.56/309,629.25
  6. Step 6: Final answer
    x = 724,639.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.