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Finding the Third Proportional to 353,058.75 and 724,722

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Solution

The third proportional to 353,058.75 and 724,722 is: 1,487,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,058.75 : 724,722 = 724,722 : x
  2. Step 2: Convert to fraction form
    353,058.75/724,722 = 724,722/x
  3. Step 3: Cross multiply
    353,058.75x = 724,722 × 724,722
  4. Step 4: Simplify right side
    353,058.75x = 525,221,977,284
  5. Step 5: Solve for x
    x = 525,221,977,284/353,058.75
  6. Step 6: Final answer
    x = 1,487,633.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.