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Finding the Third Proportional to 352,695 and 761,142

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Solution

The third proportional to 352,695 and 761,142 is: 1,642,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,695 : 761,142 = 761,142 : x
  2. Step 2: Convert to fraction form
    352,695/761,142 = 761,142/x
  3. Step 3: Cross multiply
    352,695x = 761,142 × 761,142
  4. Step 4: Simplify right side
    352,695x = 579,337,144,164
  5. Step 5: Solve for x
    x = 579,337,144,164/352,695
  6. Step 6: Final answer
    x = 1,642,600.96

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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.