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Finding the Third Proportional to 240,764 and 512,634

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Solution

The third proportional to 240,764 and 512,634 is: 1,091,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,764 : 512,634 = 512,634 : x
  2. Step 2: Convert to fraction form
    240,764/512,634 = 512,634/x
  3. Step 3: Cross multiply
    240,764x = 512,634 × 512,634
  4. Step 4: Simplify right side
    240,764x = 262,793,617,956
  5. Step 5: Solve for x
    x = 262,793,617,956/240,764
  6. Step 6: Final answer
    x = 1,091,498.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.