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Finding the Third Proportional to 352,140 and 501,749

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Solution

The third proportional to 352,140 and 501,749 is: 714,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,140 : 501,749 = 501,749 : x
  2. Step 2: Convert to fraction form
    352,140/501,749 = 501,749/x
  3. Step 3: Cross multiply
    352,140x = 501,749 × 501,749
  4. Step 4: Simplify right side
    352,140x = 251,752,059,001
  5. Step 5: Solve for x
    x = 251,752,059,001/352,140
  6. Step 6: Final answer
    x = 714,920.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.