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Finding the Third Proportional to 352,566 and 761,234

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Solution

The third proportional to 352,566 and 761,234 is: 1,643,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,566 : 761,234 = 761,234 : x
  2. Step 2: Convert to fraction form
    352,566/761,234 = 761,234/x
  3. Step 3: Cross multiply
    352,566x = 761,234 × 761,234
  4. Step 4: Simplify right side
    352,566x = 579,477,202,756
  5. Step 5: Solve for x
    x = 579,477,202,756/352,566
  6. Step 6: Final answer
    x = 1,643,599.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.