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Finding the Third Proportional to 229,440.09 and 492,083.86

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Solution

The third proportional to 229,440.09 and 492,083.86 is: 1,055,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,440.09 : 492,083.86 = 492,083.86 : x
  2. Step 2: Convert to fraction form
    229,440.09/492,083.86 = 492,083.86/x
  3. Step 3: Cross multiply
    229,440.09x = 492,083.86 × 492,083.86
  4. Step 4: Simplify right side
    229,440.09x = 242,146,524,657.40
  5. Step 5: Solve for x
    x = 242,146,524,657.40/229,440.09
  6. Step 6: Final answer
    x = 1,055,380.17

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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.