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Finding the Third Proportional to 273,684.38 and 435,822.19

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Solution

The third proportional to 273,684.38 and 435,822.19 is: 694,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,684.38 : 435,822.19 = 435,822.19 : x
  2. Step 2: Convert to fraction form
    273,684.38/435,822.19 = 435,822.19/x
  3. Step 3: Cross multiply
    273,684.38x = 435,822.19 × 435,822.19
  4. Step 4: Simplify right side
    273,684.38x = 189,940,979,117.29
  5. Step 5: Solve for x
    x = 189,940,979,117.29/273,684.38
  6. Step 6: Final answer
    x = 694,014.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.