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Finding the Third Proportional to 335,107.13 and 468,762.19

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Solution

The third proportional to 335,107.13 and 468,762.19 is: 655,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,107.13 : 468,762.19 = 468,762.19 : x
  2. Step 2: Convert to fraction form
    335,107.13/468,762.19 = 468,762.19/x
  3. Step 3: Cross multiply
    335,107.13x = 468,762.19 × 468,762.19
  4. Step 4: Simplify right side
    335,107.13x = 219,737,988,429.79
  5. Step 5: Solve for x
    x = 219,737,988,429.79/335,107.13
  6. Step 6: Final answer
    x = 655,724.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.