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Finding the Third Proportional to 311,697 and 681,714

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Solution

The third proportional to 311,697 and 681,714 is: 1,490,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,697 : 681,714 = 681,714 : x
  2. Step 2: Convert to fraction form
    311,697/681,714 = 681,714/x
  3. Step 3: Cross multiply
    311,697x = 681,714 × 681,714
  4. Step 4: Simplify right side
    311,697x = 464,733,977,796
  5. Step 5: Solve for x
    x = 464,733,977,796/311,697
  6. Step 6: Final answer
    x = 1,490,979.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.