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Finding the Third Proportional to 318,615 and 688,851

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Solution

The third proportional to 318,615 and 688,851 is: 1,489,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,615 : 688,851 = 688,851 : x
  2. Step 2: Convert to fraction form
    318,615/688,851 = 688,851/x
  3. Step 3: Cross multiply
    318,615x = 688,851 × 688,851
  4. Step 4: Simplify right side
    318,615x = 474,515,700,201
  5. Step 5: Solve for x
    x = 474,515,700,201/318,615
  6. Step 6: Final answer
    x = 1,489,307.47

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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.