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Finding the Third Proportional to 350,694 and 761,166

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Solution

The third proportional to 350,694 and 761,166 is: 1,652,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,694 : 761,166 = 761,166 : x
  2. Step 2: Convert to fraction form
    350,694/761,166 = 761,166/x
  3. Step 3: Cross multiply
    350,694x = 761,166 × 761,166
  4. Step 4: Simplify right side
    350,694x = 579,373,679,556
  5. Step 5: Solve for x
    x = 579,373,679,556/350,694
  6. Step 6: Final answer
    x = 1,652,077.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.