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Finding the Third Proportional to 229,440.94 and 492,096.09

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Solution

The third proportional to 229,440.94 and 492,096.09 is: 1,055,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,440.94 : 492,096.09 = 492,096.09 : x
  2. Step 2: Convert to fraction form
    229,440.94/492,096.09 = 492,096.09/x
  3. Step 3: Cross multiply
    229,440.94x = 492,096.09 × 492,096.09
  4. Step 4: Simplify right side
    229,440.94x = 242,158,565,484.01
  5. Step 5: Solve for x
    x = 242,158,565,484.01/229,440.94
  6. Step 6: Final answer
    x = 1,055,428.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.