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Finding the Third Proportional to 352,712 and 761,174

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Solution

The third proportional to 352,712 and 761,174 is: 1,642,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,712 : 761,174 = 761,174 : x
  2. Step 2: Convert to fraction form
    352,712/761,174 = 761,174/x
  3. Step 3: Cross multiply
    352,712x = 761,174 × 761,174
  4. Step 4: Simplify right side
    352,712x = 579,385,858,276
  5. Step 5: Solve for x
    x = 579,385,858,276/352,712
  6. Step 6: Final answer
    x = 1,642,659.90

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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.