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Finding the Third Proportional to 228,224.63 and 492,534.75

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Solution

The third proportional to 228,224.63 and 492,534.75 is: 1,062,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,224.63 : 492,534.75 = 492,534.75 : x
  2. Step 2: Convert to fraction form
    228,224.63/492,534.75 = 492,534.75/x
  3. Step 3: Cross multiply
    228,224.63x = 492,534.75 × 492,534.75
  4. Step 4: Simplify right side
    228,224.63x = 242,590,479,957.56
  5. Step 5: Solve for x
    x = 242,590,479,957.56/228,224.63
  6. Step 6: Final answer
    x = 1,062,946.12

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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.