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Finding the Third Proportional to 227,106 and 492,847.50

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Solution

The third proportional to 227,106 and 492,847.50 is: 1,069,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,106 : 492,847.50 = 492,847.50 : x
  2. Step 2: Convert to fraction form
    227,106/492,847.50 = 492,847.50/x
  3. Step 3: Cross multiply
    227,106x = 492,847.50 × 492,847.50
  4. Step 4: Simplify right side
    227,106x = 242,898,658,256.25
  5. Step 5: Solve for x
    x = 242,898,658,256.25/227,106
  6. Step 6: Final answer
    x = 1,069,538.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.