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Finding the Third Proportional to 245,714 and 517,666

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Solution

The third proportional to 245,714 and 517,666 is: 1,090,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,714 : 517,666 = 517,666 : x
  2. Step 2: Convert to fraction form
    245,714/517,666 = 517,666/x
  3. Step 3: Cross multiply
    245,714x = 517,666 × 517,666
  4. Step 4: Simplify right side
    245,714x = 267,978,087,556
  5. Step 5: Solve for x
    x = 267,978,087,556/245,714
  6. Step 6: Final answer
    x = 1,090,609.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.