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Finding the Third Proportional to 335,746.50 and 728,268

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Solution

The third proportional to 335,746.50 and 728,268 is: 1,579,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,746.50 : 728,268 = 728,268 : x
  2. Step 2: Convert to fraction form
    335,746.50/728,268 = 728,268/x
  3. Step 3: Cross multiply
    335,746.50x = 728,268 × 728,268
  4. Step 4: Simplify right side
    335,746.50x = 530,374,279,824
  5. Step 5: Solve for x
    x = 530,374,279,824/335,746.50
  6. Step 6: Final answer
    x = 1,579,686.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.