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Finding the Third Proportional to 224,569.13 and 322,806.94

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Solution

The third proportional to 224,569.13 and 322,806.94 is: 464,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,569.13 : 322,806.94 = 322,806.94 : x
  2. Step 2: Convert to fraction form
    224,569.13/322,806.94 = 322,806.94/x
  3. Step 3: Cross multiply
    224,569.13x = 322,806.94 × 322,806.94
  4. Step 4: Simplify right side
    224,569.13x = 104,204,318,898.13
  5. Step 5: Solve for x
    x = 104,204,318,898.13/224,569.13
  6. Step 6: Final answer
    x = 464,018.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.