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Finding the Third Proportional to 273,442.13 and 427,972.88

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Solution

The third proportional to 273,442.13 and 427,972.88 is: 669,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,442.13 : 427,972.88 = 427,972.88 : x
  2. Step 2: Convert to fraction form
    273,442.13/427,972.88 = 427,972.88/x
  3. Step 3: Cross multiply
    273,442.13x = 427,972.88 × 427,972.88
  4. Step 4: Simplify right side
    273,442.13x = 183,160,781,735.77
  5. Step 5: Solve for x
    x = 183,160,781,735.77/273,442.13
  6. Step 6: Final answer
    x = 669,833.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.