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Finding the Third Proportional to 335,739 and 728,254.50

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Solution

The third proportional to 335,739 and 728,254.50 is: 1,579,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,739 : 728,254.50 = 728,254.50 : x
  2. Step 2: Convert to fraction form
    335,739/728,254.50 = 728,254.50/x
  3. Step 3: Cross multiply
    335,739x = 728,254.50 × 728,254.50
  4. Step 4: Simplify right side
    335,739x = 530,354,616,770.25
  5. Step 5: Solve for x
    x = 530,354,616,770.25/335,739
  6. Step 6: Final answer
    x = 1,579,663.42

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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.