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Finding the Third Proportional to 335,400.75 and 724,281.75

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Solution

The third proportional to 335,400.75 and 724,281.75 is: 1,564,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,400.75 : 724,281.75 = 724,281.75 : x
  2. Step 2: Convert to fraction form
    335,400.75/724,281.75 = 724,281.75/x
  3. Step 3: Cross multiply
    335,400.75x = 724,281.75 × 724,281.75
  4. Step 4: Simplify right side
    335,400.75x = 524,584,053,383.06
  5. Step 5: Solve for x
    x = 524,584,053,383.06/335,400.75
  6. Step 6: Final answer
    x = 1,564,051.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.