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Finding the Third Proportional to 317,953.50 and 673,815

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Solution

The third proportional to 317,953.50 and 673,815 is: 1,427,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,953.50 : 673,815 = 673,815 : x
  2. Step 2: Convert to fraction form
    317,953.50/673,815 = 673,815/x
  3. Step 3: Cross multiply
    317,953.50x = 673,815 × 673,815
  4. Step 4: Simplify right side
    317,953.50x = 454,026,654,225
  5. Step 5: Solve for x
    x = 454,026,654,225/317,953.50
  6. Step 6: Final answer
    x = 1,427,965.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.