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Finding the Third Proportional to 227,484.75 and 492,277.50

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Solution

The third proportional to 227,484.75 and 492,277.50 is: 1,065,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,484.75 : 492,277.50 = 492,277.50 : x
  2. Step 2: Convert to fraction form
    227,484.75/492,277.50 = 492,277.50/x
  3. Step 3: Cross multiply
    227,484.75x = 492,277.50 × 492,277.50
  4. Step 4: Simplify right side
    227,484.75x = 242,337,137,006.25
  5. Step 5: Solve for x
    x = 242,337,137,006.25/227,484.75
  6. Step 6: Final answer
    x = 1,065,289.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.