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Finding the Third Proportional to 318,650.63 and 689,576.63

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Solution

The third proportional to 318,650.63 and 689,576.63 is: 1,492,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,650.63 : 689,576.63 = 689,576.63 : x
  2. Step 2: Convert to fraction form
    318,650.63/689,576.63 = 689,576.63/x
  3. Step 3: Cross multiply
    318,650.63x = 689,576.63 × 689,576.63
  4. Step 4: Simplify right side
    318,650.63x = 475,515,921,746.39
  5. Step 5: Solve for x
    x = 475,515,921,746.39/318,650.63
  6. Step 6: Final answer
    x = 1,492,279.90

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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.