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Finding the Third Proportional to 229,438.83 and 492,092.72

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Solution

The third proportional to 229,438.83 and 492,092.72 is: 1,055,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,438.83 : 492,092.72 = 492,092.72 : x
  2. Step 2: Convert to fraction form
    229,438.83/492,092.72 = 492,092.72/x
  3. Step 3: Cross multiply
    229,438.83x = 492,092.72 × 492,092.72
  4. Step 4: Simplify right side
    229,438.83x = 242,155,243,846.77
  5. Step 5: Solve for x
    x = 242,155,243,846.77/229,438.83
  6. Step 6: Final answer
    x = 1,055,423.99

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